Relevant bibliographies by topics / Meijer's g-function

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Meijer's g-function'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Meijer's g-function.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Meijer's g-function"

1

Pishkoo, Amir. "On Use of Meijer's G-functions In The Theory of Univalent Functions." JOURNAL OF ADVANCES IN PHYSICS 11, no. 3 (December 28, 2015): 3162–70. http://dx.doi.org/10.24297/jap.v11i3.413.

Full text
Abstract:
Using some properties of Meijer's G-functions and univalent functions, in this paper some definitions, transformations and theorems in univalent function theory are discussed and then reformulated in the language of Meijer's G-functions. The starting point is to consider the Koebe function as a Meijer’s G-function.
APA, Harvard, Vancouver, ISO, and other styles
2

Pishkoo, Amir, Maslina Darus, and Fatemeh Tamizi. "A Solution of Fractional Laplace's Equation by Modified Separation of Variables." JOURNAL OF ADVANCES IN PHYSICS 4, no. 1 (March 22, 2014): 397–403. http://dx.doi.org/10.24297/jap.v4i1.2049.

Full text
Abstract:
This paper applies the Modified separation of variables method (MSV) suggested by Pishkoo and Darus towards obtaining a solution for fractional Laplace's equation. The closed form expression for potential function is formulated in terms of Meijer's G-functions (MGFs). Moreover, the relationship between fractional dimension and parameters of Meijer’s G-function for spherical Laplacian in R, for radial functions is derived.
APA, Harvard, Vancouver, ISO, and other styles
3

Pishkoo, Amir, and Maslina Darus. "Translation, Creation and Annihilation of Poles and Zeros with the Biernacki and Ruscheweyh Operators, Acting on Meijer's G-Functions." Chinese Journal of Mathematics 2014 (February 12, 2014): 1–5. http://dx.doi.org/10.1155/2014/716718.

Full text
Abstract:
Meijer's G-functions are studied by the Biernacki and Ruscheweyh operators. These operators are special cases of the Erdélyi-Kober operators (for m=1). The effect of operators on Meijer's G-functions can be shown as the change in the distribution of poles and zeros on the complex plane. These poles and zeros belong to the integrand, a ratio of gamma functions, defining the Meijer's G-function. Displacement in position and increasing or decreasing in number of poles and zeroes are expressed by the transporter, creator, and annihilator operators. With special glance, three basic univalent Meijer's G-functions, Koebe, and convex functions are considered.
APA, Harvard, Vancouver, ISO, and other styles
4

Pishkoo, A. "The Simplest Meijer's G-Function G0,11,0 as the Radial Functions of the Hydrogen Atom." Bulletin of Society for Mathematical Services and Standards 14 (June 2015): 28–32. http://dx.doi.org/10.18052/www.scipress.com/bsmass.14.28.

Full text
Abstract:
The purpose of this paper is to show that how the sub-family of Meijer's G-functions, G0,11,0, deduces all the radial states of the Hydrogen atom. By introducing two postulates and using operator method similar with the method used for the simple harmonic oscillator we obtain all the excited radial states of the Hydrogen atom from the ground state. It is just needed to use two properties of Meijer's G-functions.
APA, Harvard, Vancouver, ISO, and other styles
5

Bajpai, S. D., and Sadhana Mishra. "AN ANHARMONIC FOURIER ANALYSIS FOR USE IN PROBLEMS OF HEAT CONDUCTION AND MEIJER'S G-FUNCTION." Tamkang Journal of Mathematics 21, no. 3 (September 1, 1990): 215–22. http://dx.doi.org/10.5556/j.tkjm.21.1990.4665.

Full text
Abstract:
In this paper, we develop a.n anharmonic Fourier analysis for use in problems of heat conduction. We also evaluate an integral involving Meijer's G- function and show how Meijer's G-function can be utilized to solve a problem of heat conduction in a rod under boundary conditions of special kind with the help of our anharmonic Fourier analysis.
APA, Harvard, Vancouver, ISO, and other styles
6

Pishkoo, Amir, and Maslina Darus. "The Yukawa Potential Function and Reciprocal Univalent Function." JOURNAL OF ADVANCES IN PHYSICS 3, no. 2 (December 5, 2013): 197–202. http://dx.doi.org/10.24297/jap.v3i2.2072.

Full text
Abstract:
This paper presents a mathematical model that provides analytic connection between four fundamental forces (interactions), by using modified reciprocal theorem,derived in the paper, as a convenient template. The essential premise of this work is to demonstrate that if we obtain with a form of the Yukawa potential function [as a meromorphic univalent function], we may eventually obtain the Coloumb Potential as a univalent function outside of the unit disk. Finally, we introduce the new problem statement about assigning Meijer's G-functions to Yukawa and Coloumb potentials as an open problem.
APA, Harvard, Vancouver, ISO, and other styles
7

S. D., BAJPAI. "Applications of hermite polynomials and Meijer's G. function in quantum mechanics mechanics and heat conduction." Communications Faculty Of Science University of Ankara 39 (1990): 7–12. http://dx.doi.org/10.1501/commua1-2_0000000055.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Alizadeh, Morad, Muhammad Nauman Khan, Mahdi Rasekhi, and G.G Hamedani. "A New Generalized Modified Weibull Distribution." Statistics, Optimization & Information Computing 9, no. 1 (January 22, 2021): 17–34. http://dx.doi.org/10.19139/soic-2310-5070-1014.

Full text
Abstract:
We introduce a new distribution, so called A new generalized modified Weibull (NGMW) distribution. Various structural properties of the distribution are obtained in terms of Meijer's $G$--function, such as moments, moment generating function, conditional moments, mean deviations, order statistics and maximum likelihood estimators. The distribution exhibits a wide range of shapes with varying skewness and assumes all possible forms of hazard rate function. The NGMW distribution along with other distributions are fitted to two sets of data, arising in hydrology and in reliability. It is shown that the proposed distribution has a superior performance among the compared distributions as evidenced via goodness--of--fit tests
APA, Harvard, Vancouver, ISO, and other styles
9

Haubold, Hans J., and Dilip Kumar. "Analytical Results Connecting Stellar Structure Parameters and Extended Reaction Rates." Journal of Astrophysics 2014 (May 12, 2014): 1–12. http://dx.doi.org/10.1155/2014/656784.

Full text
Abstract:
Possible modification in the velocity distribution in the nonresonant reaction rates leads to an extended reaction rate probability integral. The closed form representation for these thermonuclear functions is used to obtain the stellar luminosity and neutrino emission rates. The composite parameter 𝒞 that determines the standard nuclear reaction rate through the Maxwell-Boltzmann energy distribution is extended to 𝒞* by the extended reaction rates through a more general distribution than the Maxwell-Boltzmann distribution. The new distribution is obtained by the pathway model introduced by Mathai (2005). Simple analytic models considered by various authors are utilized for evaluating stellar luminosity and neutrino emission rates and are obtained in generalized special functions such as Meijer's G-function and Fox's H-function. The standard and extended nonresonant thermonuclear functions are compared by plotting them. Behaviour of the new energy distribution, which is more general than the Maxwell-Boltzmann, is also studied.
APA, Harvard, Vancouver, ISO, and other styles
10

Khan, M. J. S., M. A. R. Khan, and N. Wahid. "Characterization of continuous distributions conditioned on a pair of non-adjacent generalized order statistics using Meijer's G function." Applied Mathematical Sciences 11 (2017): 759–71. http://dx.doi.org/10.12988/ams.2017.7250.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Meijer's g-function"

1

Loots, Mattheus Theodor. "The development of the quaternion normal distribution." Diss., University of Pretoria, 2010. http://hdl.handle.net/2263/25903.

Full text
Abstract:
In this dissertation an overview on the real representation of quaternions in distribution theory is given. The density functions of the p-variate and matrix-variate quaternion normal distributions are derived from first principles, while that of the quaternion Wishart distribution is derived from the real associated Wishart distribution via the characteristic function. Applications of this theory in hypothesis testing is presented, and the density function of Wilks's statistic is derived for quaternion Wishart matrices.
Dissertation (MSc)--University of Pretoria, 2011.
Statistics
unrestricted
APA, Harvard, Vancouver, ISO, and other styles
2

Czarnecki, Kyle Jeffrey. "Resonance sums for Rankin-Selberg products." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/3066.

Full text
Abstract:
Consider either (i) f = f1 ⊠ f2 for two Maass cusp forms for SLm(ℤ) and SLm′(ℤ), respectively, with 2 ≤ m ≤ m′, or (ii) f= f1 ⊠ f2 ⊠ f3 for three weight 2k holomorphic cusp forms for SL2(ℤ). Let λf(n) be the normalized coefficients of the associated L-function L(s, f), which is either (i) the Rankin-Selberg L-function L(s, f1 ×f2), or (ii) the Rankin triple product L-function L(s, f1 ×f2 ×f3). First, we derive a Voronoi-type summation formula for λf (n) involving the Meijer G-function. As an application we obtain the asymptotics for the smoothly weighted average of λf (n) against e(αnβ), i.e. the asymptotics for the associated resonance sums. Let ℓ be the degree of L(s, f). When β = 1/ℓ and α is close or equal to ±ℓq 1/ℓ for a positive integer q, the average has a main term of size |λf (q)|X 1/2ℓ+1/2 . Otherwise, when α is fixed and 0 < β < 1/ℓ it is shown that this average decays rapidly. Similar results have been established for individual SLm(ℤ) automorphic cusp forms and are due to the oscillatory nature of the coefficients λf (n).
APA, Harvard, Vancouver, ISO, and other styles
3

Cao, Liang. "Numerical analysis and multi-precision computational methods applied to the extant problems of Asian option pricing and simulating stable distributions and unit root densities." Thesis, University of St Andrews, 2014. http://hdl.handle.net/10023/6539.

Full text
Abstract:
This thesis considers new methods that exploit recent developments in computer technology to address three extant problems in the area of Finance and Econometrics. The problem of Asian option pricing has endured for the last two decades in spite of many attempts to find a robust solution across all parameter values. All recently proposed methods are shown to fail when computations are conducted using standard machine precision because as more and more accuracy is forced upon the problem, round-off error begins to propagate. Using recent methods from numerical analysis based on multi-precision arithmetic, we show using the Mathematica platform that all extant methods have efficacy when computations use sufficient arithmetic precision. This creates the proper framework to compare and contrast the methods based on criteria such as computational speed for a given accuracy. Numerical methods based on a deformation of the Bromwich contour in the Geman-Yor Laplace transform are found to perform best provided the normalized strike price is above a given threshold; otherwise methods based on Euler approximation are preferred. The same methods are applied in two other contexts: the simulation of stable distributions and the computation of unit root densities in Econometrics. The stable densities are all nested in a general function called a Fox H function. The same computational difficulties as above apply when using only double-precision arithmetic but are again solved using higher arithmetic precision. We also consider simulating the densities of infinitely divisible distributions associated with hyperbolic functions. Finally, our methods are applied to unit root densities. Focusing on the two fundamental densities, we show our methods perform favorably against the extant methods of Monte Carlo simulation, the Imhof algorithm and some analytical expressions derived principally by Abadir. Using Mathematica, the main two-dimensional Laplace transform in this context is reduced to a one-dimensional problem.
APA, Harvard, Vancouver, ISO, and other styles
4

Kato, Fernando Hideki. "Análise de carteiras em tempo discreto." Universidade de São Paulo, 2004. http://www.teses.usp.br/teses/disponiveis/12/12139/tde-24022005-005812/.

Full text
Abstract:
Nesta dissertação, o modelo de seleção de carteiras de Markowitz será estendido com uma análise em tempo discreto e hipóteses mais realísticas. Um produto tensorial finito de densidades Erlang será usado para aproximar a densidade de probabilidade multivariada dos retornos discretos uniperiódicos de ativos dependentes. A Erlang é um caso particular da distribuição Gama. Uma mistura finita pode gerar densidades multimodais não-simétricas e o produto tensorial generaliza este conceito para dimensões maiores. Assumindo que a densidade multivariada foi independente e identicamente distribuída (i.i.d.) no passado, a aproximação pode ser calibrada com dados históricos usando o critério da máxima verossimilhança. Este é um problema de otimização em larga escala, mas com uma estrutura especial. Assumindo que esta densidade multivariada será i.i.d. no futuro, então a densidade dos retornos discretos de uma carteira de ativos com pesos não-negativos será uma mistura finita de densidades Erlang. O risco será calculado com a medida Downside Risk, que é convexa para determinados parâmetros, não é baseada em quantis, não causa a subestimação do risco e torna os problemas de otimização uni e multiperiódico convexos. O retorno discreto é uma variável aleatória multiplicativa ao longo do tempo. A distribuição multiperiódica dos retornos discretos de uma seqüência de T carteiras será uma mistura finita de distribuições Meijer G. Após uma mudança na medida de probabilidade para a composta média, é possível calcular o risco e o retorno, que levará à fronteira eficiente multiperiódica, na qual cada ponto representa uma ou mais seqüências ordenadas de T carteiras. As carteiras de cada seqüência devem ser calculadas do futuro para o presente, mantendo o retorno esperado no nível desejado, o qual pode ser função do tempo. Uma estratégia de alocação dinâmica de ativos é refazer os cálculos a cada período, usando as novas informações disponíveis. Se o horizonte de tempo tender a infinito, então a fronteira eficiente, na medida de probabilidade composta média, tenderá a um único ponto, dado pela carteira de Kelly, qualquer que seja a medida de risco. Para selecionar um dentre vários modelos de otimização de carteira, é necessário comparar seus desempenhos relativos. A fronteira eficiente de cada modelo deve ser traçada em seu respectivo gráfico. Como os pesos dos ativos das carteiras sobre estas curvas são conhecidos, é possível traçar todas as curvas em um mesmo gráfico. Para um dado retorno esperado, as carteiras eficientes dos modelos podem ser calculadas, e os retornos realizados e suas diferenças ao longo de um backtest podem ser comparados.
In this thesis, Markowitz’s portfolio selection model will be extended by means of a discrete time analysis and more realistic hypotheses. A finite tensor product of Erlang densities will be used to approximate the multivariate probability density function of the single-period discrete returns of dependent assets. The Erlang is a particular case of the Gamma distribution. A finite mixture can generate multimodal asymmetric densities and the tensor product generalizes this concept to higher dimensions. Assuming that the multivariate density was independent and identically distributed (i.i.d.) in the past, the approximation can be calibrated with historical data using the maximum likelihood criterion. This is a large-scale optimization problem, but with a special structure. Assuming that this multivariate density will be i.i.d. in the future, then the density of the discrete returns of a portfolio of assets with nonnegative weights will be a finite mixture of Erlang densities. The risk will be calculated with the Downside Risk measure, which is convex for certain parameters, is not based on quantiles, does not cause risk underestimation and makes the single and multiperiod optimization problems convex. The discrete return is a multiplicative random variable along the time. The multiperiod distribution of the discrete returns of a sequence of T portfolios will be a finite mixture of Meijer G distributions. After a change of the distribution to the average compound, it is possible to calculate the risk and the return, which will lead to the multiperiod efficient frontier, where each point represents one or more ordered sequences of T portfolios. The portfolios of each sequence must be calculated from the future to the present, keeping the expected return at the desired level, which can be a function of time. A dynamic asset allocation strategy is to redo the calculations at each period, using new available information. If the time horizon tends to infinite, then the efficient frontier, in the average compound probability measure, will tend to only one point, given by the Kelly’s portfolio, whatever the risk measure is. To select one among several portfolio optimization models, it is necessary to compare their relative performances. The efficient frontier of each model must be plotted in its respective graph. As the weights of the assets of the portfolios on these curves are known, it is possible to plot all curves in the same graph. For a given expected return, the efficient portfolios of the models can be calculated, and the realized returns and their differences along a backtest can be compared.
APA, Harvard, Vancouver, ISO, and other styles
5

Ansari, Imran Shafique. "Composite and Cascaded Generalized-K Fading Channel Modeling and Their Diversity and Performance Analysis." Thesis, 2010. http://hdl.handle.net/10754/134733.

Full text
Abstract:
The introduction of new schemes that are based on the communication among nodes has motivated the use of composite fading models due to the fact that the nodes experience different multipath fading and shadowing statistics, which subsequently determines the required statistics for the performance analysis of different transceivers. The end-to-end signal-to-noise-ratio (SNR) statistics plays an essential role in the determination of the performance of cascaded digital communication systems. In this thesis, a closed-form expression for the probability density function (PDF) of the end-end SNR for independent but not necessarily identically distributed (i.n.i.d.) cascaded generalized-K (GK) composite fading channels is derived. The developed PDF expression in terms of the Meijer-G function allows the derivation of subsequent performance metrics, applicable to different modulation schemes, including outage probability, bit error rate for coherent as well as non-coherent systems, and average channel capacity that provides insights into the performance of a digital communication system operating in N cascaded GK composite fading environment. Another line of research that was motivated by the introduction of composite fading channels is the error performance. Error performance is one of the main performance measures and derivation of its closed-form expression has proved to be quite involved for certain systems. Hence, in this thesis, a unified closed-form expression, applicable to different binary modulation schemes, for the bit error rate of dual-branch selection diversity based systems undergoing i.n.i.d. GK fading is derived in terms of the extended generalized bivariate Meijer G-function.
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Meijer's g-function"

1

Coelho, Carlos A., and Barry C. Arnold. Finite Form Representations for Meijer G and Fox H Functions. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Meijer's g-function"

1

Coelho, Carlos A., and Barry C. Arnold. "The Meijer G and Fox H Functions." In Finite Form Representations for Meijer G and Fox H Functions, 5–18. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Coelho, Carlos A., and Barry C. Arnold. "Setting the Scene." In Finite Form Representations for Meijer G and Fox H Functions, 1–4. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Coelho, Carlos A., and Barry C. Arnold. "Multiple Products of Independent Beta Random Variables with Finite Form Representations for Their Distributions." In Finite Form Representations for Meijer G and Fox H Functions, 19–27. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Coelho, Carlos A., and Barry C. Arnold. "Finite Form Representations for Extended Instances of Meijer G and Fox H Functions." In Finite Form Representations for Meijer G and Fox H Functions, 29–70. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Coelho, Carlos A., and Barry C. Arnold. "Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics." In Finite Form Representations for Meijer G and Fox H Functions, 71–452. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Coelho, Carlos A., and Barry C. Arnold. "MathematicaⓇ, Maxima, and R Packages to Implement the Likelihood Ratio Tests and Compute the Distributions in the Previous Chapter." In Finite Form Representations for Meijer G and Fox H Functions, 453–90. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Coelho, Carlos A., and Barry C. Arnold. "Approximate Finite Forms for the Cases Not Covered by the Finite Representation Approach." In Finite Form Representations for Meijer G and Fox H Functions, 491–505. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28790-0_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

"Representations of Hypergeometric Functions and of the Meijer G Function." In Handbook of Special Functions, 583–688. Chapman and Hall/CRC, 2008. http://dx.doi.org/10.1201/9781584889571-12.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Meijer's g-function"

1

Roach, Kelly. "Meijer G function representations." In the 1997 international symposium. New York, New York, USA: ACM Press, 1997. http://dx.doi.org/10.1145/258726.258784.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Coelho, Carlos A., Filipe J. Marques, and Rui P. Alberto. "On sharp and highly manageable asymptotic approximations for instances of the Meijer G function." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912754.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Klimek, Malgorzata. "On Solving Certain Fractional Differential Equations With Right-Sided Derivatives." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86659.

Full text
Abstract:
In the paper, solutions of basic fractional differential equations with right-sided derivatives of order α and with variable tβ - potential are derived using the Mellin transform method. The results are Meijer G-function series fulfilling the respective boundary conditions. The obtained series are transformed into solutions of analogous equations with left-sided derivatives and (b – t)β - potential. As an example case α + β = α/J is studied and for J = 1 the eigenfunctions of the right-sided Riemann-Liouville derivative are recovered.
APA, Harvard, Vancouver, ISO, and other styles
4

Coelho, Carlos A., and Barry C. Arnold. "Instances of the product of independent beta random variables and of the Meijer G and Fox H functions with finite representations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756348.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Meijer's g-function"

1

Wilson, D. Keith. A New Model for Turbulence Spectra and Correlations Based on Meijer's G-Functions. Fort Belvoir, VA: Defense Technical Information Center, February 1998. http://dx.doi.org/10.21236/ada337870.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Meijer's g-function' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography