Relevant bibliographies by topics / Hypergeometric functions

Contents

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

Academic literature on the topic 'Hypergeometric functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 June 2025

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 'Hypergeometric functions.'

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 "Hypergeometric functions"

1

Chaudhry, M. Aslam, Asghar Qadir, H. M. Srivastava, and R. B. Paris. "Extended hypergeometric and confluent hypergeometric functions." Applied Mathematics and Computation 159, no. 2 (2004): 589–602. http://dx.doi.org/10.1016/j.amc.2003.09.017.

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

Kalmykov, S. I., and D. B. Karp. "Inequalities for some basic hypergeometric functions." Issues of Analysis 26, no. 1 (2019): 47–64. http://dx.doi.org/10.15393/j3.art.2019.5210.

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

Nagar, Daya K., Raúl Alejandro Morán-Vásquez, and Arjun K. Gupta. "Properties and Applications of Extended Hypergeometric Functions." Ingeniería y Ciencia 10, no. 19 (2014): 11–31. http://dx.doi.org/10.17230/ingciencia.10.19.1.

Full text
Abstract:
In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions. We also show that these functions occur naturally instatistical distribution theory.
APA, Harvard, Vancouver, ISO, and other styles
4

HASSEN, ABDUL, and HIEU D. NGUYEN. "HYPERGEOMETRIC ZETA FUNCTIONS." International Journal of Number Theory 06, no. 01 (2010): 99–126. http://dx.doi.org/10.1142/s179304211000282x.

Full text
Abstract:
This paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the classical Riemann zeta function, hypergeometric zeta functions exhibit many properties analogous to their classical counterpart, including the intimate connection to Bernoulli numbers. These new properties are treated in detail and are used to demonstrate a functional inequality satisfied by second-order hypergeometric zeta functions.
APA, Harvard, Vancouver, ISO, and other styles
5

Jain, Shilpi, Carlo Cattani, and Praveen Agarwal. "Fractional Hypergeometric Functions." Symmetry 14, no. 4 (2022): 714. http://dx.doi.org/10.3390/sym14040714.

Full text
Abstract:
The fractional calculus of special functions has significant importance and applications in various fields of science and engineering. Here, we aim to find the fractional integral and differential formulas of the extended hypergeometric-type functions by using the Marichev–Saigo–Maeda operators. All the outcomes presented here are of general attractiveness and can yield a number of previous works as special cases due to the high degree of symmetry of the involved functions.
APA, Harvard, Vancouver, ISO, and other styles
6

Beukers, Frits, Henri Cohen, and Anton Mellit. "Finite hypergeometric functions." Pure and Applied Mathematics Quarterly 11, no. 4 (2015): 559–89. http://dx.doi.org/10.4310/pamq.2015.v11.n4.a2.

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

XU, XIAOPING. "PATH HYPERGEOMETRIC FUNCTIONS." Journal of Algebra and Its Applications 06, no. 04 (2007): 595–653. http://dx.doi.org/10.1142/s0219498807002405.

Full text
Abstract:
Under a certain condition, we find the explicit formulas for the trace functions of certain intertwining operators among gl(n)-modules, introduced by Etingof in connection with the solutions of the Calogero–Sutherland model. If n = 2, the master function of the trace function is exactly the classical Gauss hypergeometric function. When n > 2, the master functions of the trace functions are a new family of multiple hypergeometric functions, whose differential property and Euler type integral representation are dominated by certain polynomials of integral paths connecting pairs of positive integers. Moreover, we also find the trace functions for sp(2n) explicitly and prove that they give rise to solutions of the Olshanesky–Perelomov model of type C. The master functions of the trace functions for sp(2n) are similar new multiple path hypergeometric functions. Analogous multiple path hypergeometric functions for orthogonal Lie algebras are defined and studied.
APA, Harvard, Vancouver, ISO, and other styles
8

Al-Khal, R. A., and H. A. Al-Kharsani. "Harmonic hypergeometric functions." Tamkang Journal of Mathematics 37, no. 3 (2006): 273–83. http://dx.doi.org/10.5556/j.tkjm.37.2006.172.

Full text
Abstract:
In this paper we try to uncover some of the inequalities associating hypergeometric functions with planer harmonic mappings. Sharp coefficient relations, distortion theorems and neighborhood are given for these functions. Furthermore, convolution products are considered.
APA, Harvard, Vancouver, ISO, and other styles
9

Opdam, Eric M. "Cuspidal hypergeometric functions." Methods and Applications of Analysis 6, no. 1 (1999): 67–80. http://dx.doi.org/10.4310/maa.1999.v6.n1.a5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Graev, M. I. "General hypergeometric functions." Functional Analysis and Its Applications 26, no. 2 (1992): 131–33. http://dx.doi.org/10.1007/bf01075278.

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

Dissertations / Theses on the topic "Hypergeometric functions"

1

Bult, Fokko Joppe van de. "Hyperbolic hypergeometric functions." [Amsterdam] : Amsterdam : Thomas Stieltjes Institute for Mathematics ; Universiteit van Amsterdam [Host], 2007. http://dare.uva.nl/document/97725.

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

Rogers, Mathew D. "Hypergeometric functions and Mahler measure." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/1420.

Full text
Abstract:
The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expression]. Using experimental methods, David Boyd conjectured a large number of explicit relations between Mahler measures of polynomials and special values of different types of L-series. This thesis contains four papers which either prove or attempt to prove conjectures due to Boyd. The introductory chapter contains an overview of the contents of each manuscript.
APA, Harvard, Vancouver, ISO, and other styles
3

Cimwanga, Norbert Mbuyi. "On zeros of hypergeometric polynomials." Pretoria : [s.n.], 2006. http://upetd.up.ac.za/thesis/available/etd-10022007-130238.

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

Sadykov, Timour. "Hypergeometric functions in several complex variables." Doctoral thesis, Stockholm : Univ, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-198.

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

Zeytin, Ayberk. "Algebraic Curves Hermitian Lattices And Hypergeometric Functions." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613485/index.pdf.

Full text
Abstract:
The aim of this work is to study the interaction between two classical objects of mathematics: the modular group, and the absolute Galois group. The latter acts on the category of finite index subgroups of the modular group. However, it is a task out of reach do understand this action in this generality. We propose a lattice which parametrizes a certain system of &rdquo<br>geometric&rdquo<br>elements in this category. This system is setwise invariant under the Galois action, and there is a hope that one can explicitly understand the pointwise action on the elements of this system. These elements admit moreover a combinatorial description as quadrangulations of the sphere, satisfying a natural nonnegative curvature condition. Furthermore, their connections with hypergeometric functions allow us to realize these quadrangulations as points in the moduli space of rational curves with 8 punctures. These points are conjecturally defined over a number field and our ultimate wish is to compare the Galois action on the lattice elements in the category and the corresponding points in the moduli space.
APA, Harvard, Vancouver, ISO, and other styles
6

Santos, André Duarte dos. "Implied probability density functions: Estimation using hypergeometric, spline and lognormal functions." Master's thesis, Instituto Superior de Economia e Gestão, 2011. http://hdl.handle.net/10400.5/3372.

Full text
Abstract:
Master of Science in Finance<br>This thesis examines the stability and accuracy of three different methods to estimate Risk-Neutral Density functions (RNDs) using European options. These methods are the Double-Lognormal Function (DLN), the Smoothed Implied Volatility Smile (SML) and the Density Functional Based on Confluent Hypergeometric function (DFCH). These methodologies were used to obtain the RNDs from the option prices with the underlying USDBRL (price of US dollars in terms of Brazilian reals) for different maturities (1, 3 and 6 months), and then tested in order to analyze which method best fits a simulated "true" world as estimated through the Heston model (accuracy measure) and which model has a better performance in terms of stability. We observed that in the majority of the cases the SML outperformed the DLN and DFCH in capturing the "true" implied skewness. The DFCH and DLN methods were better than the SML model at estimating the "true" Kurtosis. However, due to the higher sensitivity of the skewness and kurtosis measures to the tails of the distribution (all the information outside the available strike prices is extrapolated and the probability masses outside this range can have ininite forms) we also compared the tested models using the root mean integrated squared error (RMISE) which is less sensitive to the tails of the distribution. We observed that using the RMISE criteria, the DFCH outperformed the other methods as a better estimator of the "true" RND. Besides testing which model best captured the "true" world's expectations, we an¬alyzed the historical summary statistics of the RNDs obtained from the FX options on the USDBRL for the period between June 2006 (before the start of the subprime crisis) and February 2010 (seven months before the Brazilian general election).
APA, Harvard, Vancouver, ISO, and other styles
7

Forsgård, Jens. "Tropical aspects of real polynomials and hypergeometric functions." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-116358.

Full text
Abstract:
The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros. First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. That is, we give a bijection between the set of connected components of the complement of the closed lopsided coamoeba and a finite set presented as the intersection of an affine lattice and a certain zonotope. Using the order map, we then study the topology of the coamoeba. In particular, we settle a conjecture of M. Passare concerning the number of connected components of the complement of the closed coamoeba in the case when the Newton polytope of f has at most n+2 vertices. In the second part we study hypergeometric functions in the sense of Gel'fand, Kapranov, and Zelevinsky. We define Euler-Mellin integrals, a family of Euler type hypergeometric integrals associated to a coamoeba. As opposed to previous studies of hypergeometric integrals, the explicit nature of Euler-Mellin integrals allows us to study in detail the dependence of A-hypergeometric functions on the homogeneity parameter of the A-hypergeometric system. Our main result is a complete description of this dependence in the case when A represents a toric projective curve. In the last chapter we turn to the theory of real univariate polynomials. The famous Descartes' rule of signs gives necessary conditions for a pair (p,n) of integers to represent the number of positive and negative roots of a real polynomial. We characterize which pairs fulfilling Descartes' conditions are realizable up to degree 7, and we provide restrictions valid in arbitrary degree.
APA, Harvard, Vancouver, ISO, and other styles
8

Lennon, Catherine (Catherine Ann). "Arithmetic and analytic properties of finite field hypergeometric functions." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/67791.

Full text
Abstract:
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 97-100).<br>The intent of this thesis is to provide a detailed study of the arithmetic and analytic properties of Gaussian (finite field) hypergeometric series. We present expressions for the number of F,-points on certain families of varieties as special values of these functions. We also present "hypergeometric trace formulas" for the traces of Hecke operators on spaces of cusp forms of levels 3 and 9. These formulas lead to a simple expression for the Fourier coefficients of r(3z)', the unique normalized cusp form of weight 4 and level 9. We then use this to show that a certain threefold is "modular" in the sense that the number of its F,-points is expressible in terms of these coefficients. In this way, we use Gaussian hypergeometric series as a tool for connecting arithmetic and analytic objects. We also discuss congruence relations between Gaussian and truncated classical hypergeometric series. In particular, we use hypergeometric transformation identities to express the pth Fourier coefficient of the unique newform of level 16 and weight 4 as a special value of a Gaussian hypergeometric series, when p =1 (mod 4). We then use this to prove a special case of Rodriguez-Villegas' supercongruence conjectures.<br>by Catherine Lennon.<br>Ph.D.
APA, Harvard, Vancouver, ISO, and other styles
9

Heck, Adam. "ASYMPTOTIC FORMULAS FOR LARGE ARGUMENTS OF HYPERGEOMETRIC-TYPE FUNCTIO." Master's thesis, University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2626.

Full text
Abstract:
Hypergeometric type functions have a long list of applications in the field of sciences. A brief history is given of Hypergeometric functions including some of their applications. A development of a new method for finding asymptotic formulas for large arguments is given. This new method is applied to Bessel functions. Results are compared with previously known methods.<br>M.A.<br>Department of Mathematics<br>Arts and Sciences<br>Mathematics
APA, Harvard, Vancouver, ISO, and other styles
10

Sadykov, Timour. "Hypergeometric systems of differential equations and amoebas of rational functions." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2566/.

Full text
Abstract:
We study the approach to the theory of hypergeometric functions in several variables via a generalization of the Horn system of differential equations. A formula for the dimension of its solution space is given. Using this formula we construct an explicit basis in the space of holomorphic solutions to the generalized Horn system under some assumptions on its parameters. These results are applied to the problem of describing the complement of the amoeba of a rational function, which was posed in [12].
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Hypergeometric functions"

1

Nath, Singh Shobh. Generalized hypergeometric functions. Radha Publications, 1993.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Spiridonov, V. P. Elliptic hypergeometric functions. Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2007.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Yoshida, Masaaki. Hypergeometric Functions, My Love. Vieweg+Teubner Verlag, 1997. http://dx.doi.org/10.1007/978-3-322-90166-8.

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

Aomoto, Kazuhiko, and Michitake Kita. Theory of Hypergeometric Functions. Springer Japan, 2011. http://dx.doi.org/10.1007/978-4-431-53938-4.

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

1995, Kita Michitake d., and Kohno Toshitake, eds. Theory of hypergeometric functions. Springer, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Buschman, R. G. Contiguous function relations for triple and other hypergeometric functions. R.G. Buschman], 1999.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kadell, Kevin W. J. Path functions and generalized basic hypergeometric functions. American Mathematical Society, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Gasper, George. Basic hypergeometric series. Cambridge University Press, 1990.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Dhami, Eca Esa. Parājyāmitīya phalana: Hypergeometric function. Vaijñānika tathā Takanīkī Śabdāvalī Āyoga, Mānava Saṃsādhana Vikāsa Mantrālaya, Mādhyamika Śikshā aura Uccatara Śikshā Vibhāga, Bhārata Sarakāra, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Seaborn, James B. Hypergeometric Functions and Their Applications. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4757-5443-8.

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

Book chapters on the topic "Hypergeometric functions"

1

Agarwal, Ravi P., and Donal O’Regan. "Hypergeometric Functions." In Ordinary and Partial Differential Equations. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-79146-3_10.

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

Feinsilver, Philip, and René Schott. "Hypergeometric Functions." In Algebraic Structures and Operator Calculus. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1648-0_3.

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

Viola, Carlo. "Hypergeometric Functions." In UNITEXT. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41345-7_8.

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

Akhmedova, Valeriya, and Emil T. Akhmedov. "Hypergeometric Functions." In SpringerBriefs in Physics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-35089-5_7.

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

Ehrenpreis, Leon. "Hypergeometric Functions." In ICM-90 Satellite Conference Proceedings. Springer Japan, 1991. http://dx.doi.org/10.1007/978-4-431-68170-0_4.

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

Schweizer, Wolfgang. "Hypergeometric Functions." In Special Functions in Physics with MATLAB. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64232-7_8.

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

Nikiforov, Arnold F., and Vasilii B. Uvarov. "Hypergeometric functions." In Special Functions of Mathematical Physics. Birkhäuser Boston, 1988. http://dx.doi.org/10.1007/978-1-4757-1595-8_4.

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

Koepf, Wolfram. "Rodrigues Formulas and Generating Functions." In Hypergeometric Summation. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6464-7_13.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Koepf, Wolfram. "Rodrigues Formulas and Generating Functions." In Hypergeometric Summation. Vieweg+Teubner Verlag, 1998. http://dx.doi.org/10.1007/978-3-322-92918-1_14.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Opdam, Eric M. "Multivariable Hypergeometric Functions." In European Congress of Mathematics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8268-2_29.

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

Conference papers on the topic "Hypergeometric functions"

1

Beukers, Frits. "A-hypergeometric functions." In the 37th International Symposium. ACM Press, 2012. http://dx.doi.org/10.1145/2442829.2442830.

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

JAMBU, MICHEL. "HYPERGEOMETRIC FUNCTIONS AND HYPERPLANE ARRANGEMENTS." In Algebraic Approach to Differential Equations. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814273244_0005.

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

AOMOTO, KAZUHIKO. "INTEGRAL REPRESENTATIONS OF QUASI HYPERGEOMETRIC FUNCTIONS." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792303_0001.

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

Malik, Pradeep, Saiful R. Mondal, and A. Swaminathan. "Fractional Integration of Generalized Bessel Function of the First Kind." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48950.

Full text
Abstract:
Generalizing the classical Riemann-Liouville and Erde´yi-Kober fractional integral operators two integral transforms involving Gaussian hypergeometric functions in the kernel are considered. Formulas for composition of such integrals with generalized Bessel function of the first kind are obtained. Special cases involving trigonometric functions such as sine, cosine, hyperbolic sine and hyperbolic cosine are deduced. These results are established in terms of generalized Wright function and generalized hypergeometric functions.
APA, Harvard, Vancouver, ISO, and other styles
5

Challab, K. A., M. Darus, and F. Ghanim. "On meromorphic parabolic starlike functions involving the q-hypergeometric function." In PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence. Author(s), 2018. http://dx.doi.org/10.1063/1.5041647.

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

KALMYKOV, Mikhail, Vladimir Bytev, Bernd Kniehl, Bennie F. L. Ward, and Scott Alan Yost. "Feynman Diagrams, Differential Reduction and Hypergeometric Functions." In XII Advanced Computing and Analysis Techniques in Physics Research. Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.070.0125.

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

Şahin, Recep. "An extension of some Lauricella hypergeometric functions." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825709.

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

Karatsuba, Ekatharine A. "Fast evaluation of hypergeometric functions by FEE." In Third CMFT Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812833044_0023.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Hayden, Michael B., and Edmund A. Lamagna. "Summation of binomial coefficients using hypergeometric functions." In the fifth ACM symposium. ACM Press, 1986. http://dx.doi.org/10.1145/32439.32454.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Laporta, Stefano. "Four-loop master integrals and hypergeometric functions." In MathemAmplitudes 2019: Intersection Theory & Feynman Integrals. Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.383.0023.

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

Reports on the topic "Hypergeometric functions"

1

Mudaliar, Saba. Asymptotic Expansions for a Class of Hypergeometric Functions. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada280374.

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

Gragg, William, and Beny Neta. Fortran Subroutines for the Evaluation of the Confluent Hypergeometric Functions. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada213308.

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