Relevant bibliographies by topics / Calculus functions

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'Calculus functions'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Calculus functions"

1

Milner, Robin. "Functions as processes." Mathematical Structures in Computer Science 2, no. 2 (1992): 119–41. http://dx.doi.org/10.1017/s0960129500001407.

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This paper exhibits accurate encodings of the λ-calculus in the π-calculus. The former is canonical for calculation with functions, while the latter is a recent step (Milner et al. 1989) towards a canonical treatment of concurrent processes. With quite simple encodings, two λ-calculus reduction strategies are simulated very closely; each reduction in λ-calculus is mimicked by a short sequence of reductions in π-calculus. Abramsky's precongruence of applicative bisimulation (Abramsky 1989) over λ-calculus is compared with that induced by the encoding of the lazy λ-calculus into π-calculus; a si
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Gowrisankar, Arulprakash, Alireza Khalili Golmankhaneh, and Cristina Serpa. "Fractal Calculus on Fractal Interpolation Functions." Fractal and Fractional 5, no. 4 (2021): 157. http://dx.doi.org/10.3390/fractalfract5040157.

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In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass functions are presented.
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Toninho, Bernardo, and Nobuko Yoshida. "On Polymorphic Sessions and Functions." ACM Transactions on Programming Languages and Systems 43, no. 2 (2021): 1–55. http://dx.doi.org/10.1145/3457884.

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This work exploits the logical foundation of session types to determine what kind of type discipline for the Λ-calculus can exactly capture, and is captured by, Λ-calculus behaviours. Leveraging the proof theoretic content of the soundness and completeness of sequent calculus and natural deduction presentations of linear logic, we develop the first mutually inverse and fully abstract processes-as-functions and functions-as-processes encodings between a polymorphic session π-calculus and a linear formulation of System F. We are then able to derive results of the session calculus from the theory
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Richman, Fred. "Algebraic Functions, Calculus Style." Communications in Algebra 40, no. 7 (2012): 2671–83. http://dx.doi.org/10.1080/00927872.2011.584337.

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Ahuja, O. P., and A. Çetinkaya. "Connecting quantum calculus and harmonic starlike functions." Filomat 34, no. 5 (2020): 1431–41. http://dx.doi.org/10.2298/fil2005431a.

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Quantum calculus or q-calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others. But role of q-calculus in the theory of harmonic univalent functions is quite new. In this paper, we make an attempt to connect quantum calculus and harmonic univalent starlike functions. In particular, we introduce and investigate the properties of q-harmonic functions and q-harmonic starlike functions of order ?.
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Tariq, Muhammad, Sotiris K. Ntouyas, and Asif Ali Shaikh. "A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus." Foundations 3, no. 2 (2023): 340–79. http://dx.doi.org/10.3390/foundations3020026.

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A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions, p-convex functions, (p,s)-convex functions, modified (p,s)-convex functions, (p,h)-convex functions, tgs-convex functions, η-quasi-convex functions, ϕ-convex functions, (α,m)-convex functions, ϕ-quasi-convex functions, and coordinated convex functions. Quantum H-H type inequalities via preinvex functions and Green functions are also presented
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Rawski, Mariusz. "Application of Indexed Partition Calculus in Logic Synthesis of Boolean Functions for FPGAs." International Journal of Electronics and Telecommunications 57, no. 2 (2011): 209–16. http://dx.doi.org/10.2478/v10177-011-0029-4.

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Application of Indexed Partition Calculus in Logic Synthesis of Boolean Functions for FPGAsFunctional decomposition of Boolean functions specified by cubes proved to be very efficient. Most popular decom-position methods are based on blanket calculus. However computation complexity of blanket manipulations strongly depends on number of function's variables, which prevents them from being used for large functions of many input and output variables. In this paper a new concept of indexed partition is proposed and basic operations on indexed partitions are defined. Application of this concept to
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Kalia, R. N. "Fractional calculus and analytic functions." Integral Transforms and Special Functions 4, no. 1-2 (1996): 203–10. http://dx.doi.org/10.1080/10652469608819106.

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Camici, Gianni, Massimiliano Grazzini, and Luca Trentadue. "Fracture functions and Jet Calculus." Physics Letters B 439, no. 3-4 (1998): 382–88. http://dx.doi.org/10.1016/s0370-2693(98)01040-5.

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Ueno, Kazuo. "Umbral calculus and special functions." Advances in Mathematics 67, no. 2 (1988): 174–229. http://dx.doi.org/10.1016/0001-8708(88)90040-0.

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Dissertations / Theses on the topic "Calculus functions"

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Kilicman, Adem. "Generalized functions using the neutrix calculus." Thesis, University of Leicester, 1995. http://hdl.handle.net/2381/34551.

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In Chapter 1, we give a brief review of the basic properties of distributions and we also present neutrices and neutrix limits which are needed to define the product and convolution product of distributions. In Chapter 2, the product of two distributions f and g is defined to be the neutrix limit of the {fgn}, provided this limit exists, where gn = 9 n and is a regular sequence converging to the Dirac delta function. The neutrix product f o g is said to exist and be equal to h if [Mathematical equation removed] for all in D. Some theorems about the existence of this product for distributions a
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Fernandez, Arran. "Analysis in fractional calculus and asymptotics related to zeta functions." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/284390.

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This thesis presents results in two apparently disparate mathematical fields which can both be examined -- and even united -- by means of pure analysis. Fractional calculus is the study of differentiation and integration to non-integer orders. Dating back to Leibniz, this idea was considered by many great mathematical figures, and in recent decades it has been used to model many real-world systems and processes, but a full development of the mathematical theory remains incomplete. Many techniques for partial differential equations (PDEs) can be extended to fractional PDEs too. Three chapters b
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Khan, Mumtaz Ahmad, and Bijan Rouhi. "A study on a calculus for the Tk,x,y,z-operator." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96924.

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The present paper deals with the calculus of Tk,x,y,z - operator. The operator is a three variable analogue of the operator given earlier by W. A. Al-Salam [1] and H. B. Mittal [10]. The operator is useful for finding operational representations and generating functions of polynomials of three variables and will be dealt in a separate communication.
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LICCIARDI, SILVIA. "Umbral calculus a different mathematical language." Doctoral thesis, Università degli studi di Catania, 2018. http://hdl.handle.net/20.500.11769/491021.

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The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special functions, for the solution of ordinary and partial differential equations, including those of fractional nature. It will provide an account of the theory and applications of Operational Methods allowing the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we are referring to is that of symbolic methods, largely based on a formalism of umbral type which provides a tremendous simplification of the derivation of the associated
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Hartter, Beverly Jo Dossey John A. "Concept image and concept definition for the topic of the derivative." Normal, Ill. Illinois State University, 1995. http://wwwlib.umi.com/cr/ilstu/fullcit?p9603516.

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Thesis (Ph. D.)--Illinois State University, 1995.<br>Title from title page screen, viewed May 2, 2006. Dissertation Committee: John A. Dossey (chair), Stephen H. Friedberg, Beverly S. Rich, Kenneth Strand, Jane O. Swafford. Includes bibliographical references (leaves 93-97) and abstract. Also available in print.
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Licciardi, Silvia. "Umbral Calculus A Different Mathematical Language." Doctoral thesis, Università di Catania, 2018. http://hdl.handle.net/10761/3941.

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The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special functions, for the solution of ordinary and partial differential equations, including those of fractional nature. It will provide an account of the theory and applications of Operational Methods allowing the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we are referring to is that of symbolic methods, largely based on a formalism of umbral type which provides a tremendous simplification of the derivation of the associated
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Schippers, Eric. "The calculus of conformal metrics and univalence criteria for holomorphic functions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0021/NQ45740.pdf.

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Charoenphon, Sutthirut. "Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model." TopSCHOLAR®, 2014. http://digitalcommons.wku.edu/theses/1327.

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Fractional calculus has been used as a research tool in the fields of pharmacology, biology, chemistry, and other areas [3]. The main purpose of this thesis is to calculate Green's functions of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application of a one-compartmental model of drug concentration. In Chapter 1, the Gamma function and its properties are discussed to establish a theoretical basis. Additionally, the basics o
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Hassani, Sarah Dossey John A. "Calculus students' knowledge of the composition of functions and the chain rule." Normal, Ill. Illinois State University, 1998. http://wwwlib.umi.com/cr/ilstu/fullcit?p9835906.

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Thesis (D.A.)--Illinois State University, 1998.<br>Title from title page screen, viewed July 3, 2006. Dissertation Committee: John A. Dossey (chair), Roger Day, Michael Marsali, Michael Plantholt. Includes bibliographical references (leaves 196-202) and abstract. Also available in print.
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Pérez, Aros Pedro Antonio. "Subdifferential calculus in the framework of Epi-pointed variational analysis, integral functions, and applications." Tesis, Universidad de Chile, 2018. http://repositorio.uchile.cl/handle/2250/150762.

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Tesis para optar al grado de Doctor en Ciencias de la Ingeniería, Mención Modelación Matemática<br>La investigación de esta tesis es presentada en seis capítulos, desde el Capítulo 2 al Capítulo 7. El capítulo 2 proporciona una demostración directa de una caracterización reciente de convexidad dada en el marco de los espacios de Banach en [J. Saint Raymond, J. Convexo no lineal Anal., 14 (2013), pp. 253-262]. Estos resultados también extienden esta caracterización a espacios localmente convexos bajo condiciones más débiles y se basa en la definición de una función epi-puntada. El
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Books on the topic "Calculus functions"

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1956-, Minton Roland B., ed. Calculus: Early transcendental functions. 4th ed. McGraw-Hill, 2010.

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P, Hostetler Robert, and Edwards Bruce H. 1946-, eds. Calculus: Early transcendental functions. 4th ed. Brooks/Cole, Cengage Learning, 2010.

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Corporation, National Learning, ed. Calculus with elementary functions. National Learning Corp., 2001.

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Ron, Larson. Calculus: Early transcendental functions. 3rd ed. Houghton Mifflin, 2003.

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T, Smith Robert. Calculus: Late transcendental functions. 4th ed. McGraw-Hill, 2012.

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Ron, Larson. Calculus: Early transcendental functions. D.C. Heath, 1995.

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T, Smith Robert. Calculus: Early transcendental functions. 3rd ed. McGraw-Hill, 2007.

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P, Hostetler Robert, and Edwards Bruce H. 1946-, eds. Calculus: Early transcendental functions. 4th ed. Houghton Mifflin, 2007.

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1946-, Edwards Bruce H., ed. Calculus: Early transcendental functions. 5th ed. Brooks/Cole, Cengage Learning, 2011.

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1956-, Minton Roland B., ed. Calculus: Early transcendental functions. 3rd ed. McGraw-Hill Higher Education, 2007.

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Book chapters on the topic "Calculus functions"

1

Jay, Barry. "Functions." In Pattern Calculus. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-89185-7_2.

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Back, Ralph-Johan, and Joakim Wright. "Functions." In Refinement Calculus. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1674-2_4.

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Galois, Evariste. "Functions." In Abstract Calculus. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003166559-2.

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Flanders, Harley. "Functions and Integrals." In Calculus. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2480-6_7.

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Karmakar, Samiran, and Sibdas Karmakar. "Jacobians, Functional Dependence and Implicit Functions." In Multivariate Calculus. CRC Press, 2023. http://dx.doi.org/10.1201/9781003407874-4.

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Callahan, James J. "Implicit Functions." In Advanced Calculus. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7332-0_6.

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Marsden, Jerrold, and Alan Weinstein. "Trigonometric Functions." In Calculus I. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-5024-1_8.

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Ben-Israel, Adi, and Robert Gilbert. "Functions." In Computer-Supported Calculus. Springer Vienna, 2002. http://dx.doi.org/10.1007/978-3-7091-6146-3_1.

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Wegert, Elias. "Complex Calculus." In Visual Complex Functions. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0180-5_4.

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Schneeweiss, Winfrid G. "Boolean Difference Calculus." In Boolean Functions. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-45638-1_6.

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Conference papers on the topic "Calculus functions"

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Hongwu, Hei. "The Practice and Application of Visualized Experiential Teaching of Binary Function Calculus Based on GeoGebra." In 2024 14th International Conference on Information Technology in Medicine and Education (ITME). IEEE, 2024. https://doi.org/10.1109/itme63426.2024.00103.

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Arendt, Wolfgang, and Charles J. K. Batty. "Forms, functional calculus, cosine functions and perturbation." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-2.

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Zamora Esquivel, Julio, Adan Cruz Vargas, Rodrigo Camacho Perez, Paulo Lopez Meyer, Hector Cordourier, and Omesh Tickoo. "Adaptive Activation Functions Using Fractional Calculus." In 2019 IEEE/CVF International Conference on Computer Vision Workshop (ICCVW). IEEE, 2019. http://dx.doi.org/10.1109/iccvw.2019.00250.

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Castagna, Giuseppe, Giorgio Ghelli, and Giuseppe Longo. "A calculus for overloaded functions with subtyping." In the 1992 ACM conference. ACM Press, 1992. http://dx.doi.org/10.1145/141471.141537.

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Kenyon-Roberts, Andrew, and C. H. Luke Ong. "Supermartingales, Ranking Functions and Probabilistic Lambda Calculus." In 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2021. http://dx.doi.org/10.1109/lics52264.2021.9470550.

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Wei, Yiheng, YangQuan Chen, Qing Gao, and Yong Wang. "Infinite Series Representation of Functions in Fractional Calculus." In 2019 Chinese Automation Congress (CAC). IEEE, 2019. http://dx.doi.org/10.1109/cac48633.2019.8997499.

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Escobar-Molano, Martha, Richard Hull, and Dean Jacobs. "Safety and translation of calculus queries with scalar functions." In the twelfth ACM SIGACT-SIGMOD-SIGART symposium. ACM Press, 1993. http://dx.doi.org/10.1145/153850.153909.

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Couceiro, Miguel, Pierre Mercuriali, Romain Pechoux, and Abdallah Saffidine. "Median Based Calculus for Lattice Polynomials and Monotone Boolean Functions." In 2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL). IEEE, 2017. http://dx.doi.org/10.1109/ismvl.2017.18.

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Johnson, C. R. "Use of visual propositional calculus to derive safety critical functions." In 8th IET International System Safety Conference incorporating the Cyber Security Conference 2013. Institution of Engineering and Technology, 2013. http://dx.doi.org/10.1049/cp.2013.1703.

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Marimuthu, K., J. Uma, and S. Mayilvaganan. "Certain subclass of univalent functions associated with fractional calculus operator." In 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0108611.

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Reports on the topic "Calculus functions"

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Rajkovic, Predrag M., and Sladjana D. Marinkovic. Finding the Zeros of the Functions Treated by q-Calculus. GIQ, 2012. http://dx.doi.org/10.7546/giq-6-2005-284-296.

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Altınkaya, Şahsene, Shigeyoshi Owa, and Sibel Yalçın. On a New Class of Analytic Functions Related to Fractional Calculus. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.01.02.

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Usmanova, Z. M., S. P. Balandin, and R. G. Zaynullin. Electronic educational and methodological manual on the sections «Linear algebra and analytical geometry, differential calculus of functions of one and several variables» of the discipline «Mathematics». OFERNIO, 2021. http://dx.doi.org/10.12731/ofernio.2021.24887.

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Kharrat, Mohamed. Pricing American Put Options Using Malliavin Calculus with Optimal Localization Function. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2021. http://dx.doi.org/10.7546/crabs.2021.10.04.

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