Results 21 to 30 of about 72 (69)
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 671-676, 1998., 1996 In this paper, we investigate some generalized results of applications of fractional integral and derivative operators to a subclass of analytic functions for operators on Hilbert space.
Yong Chan Kim, Jae Ho Choi, Jin Seop Lee
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Transformation formulas for terminating Saalschützian hypergeometric series of unit argument
International Journal of Stochastic Analysis, Volume 8, Issue 2, Page 189-194, 1995., 1994 Transformation formulas for terminating Saalschützian hypergeometric series of unit argument p+1Fp(1) are presented. They generalize the Saalschützian summation formula for 3F2(1). Formulas for p = 3, 4, 5 are obtained explicitly, and a recurrence relation is proved by means of which the corresponding formulas can also be derived for larger p.
Wolfgang Bühring
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Generalized Neumann and Kapteyn expansions
International Journal of Stochastic Analysis, Volume 8, Issue 4, Page 415-421, 1995., 1995 Certain formal series of a most general nature are specialized so as to deduce expansions in terms of a class of generalized hypergeometric functions. These series generalize the Neumann and Kapteyn series in the theory of Bessel functions, and their convergence is investigated. An example of a succinct expansion is also given.
Harold Exton
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Some extensions of Bateman′s product formulas for the Jacobi polynomials
International Journal of Stochastic Analysis, Volume 8, Issue 4, Page 423-428, 1995., 1995 The authors derive generalizations of some remarkable product formulas of Harry Bateman (1882‐1946) for the classical Jacobi polynomials. They also show how the results considered here would lead to various families of linear, bilinear, and bilateral generating functions for the Jacobi and related polynomials.
Ming-Po Chen, H. M. Srivastava
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Solution of Euler-Type Non-Homogeneous Differential Equations with Three Fractional Derivatives [PDF]
, 2008 The linear non-homogeneous ordinary differential equations with three left-hand sided Lioville derivatives of fractional order are considered. Using the direct and inverse Mellin transforms and the residue theory, explicit solutions of such equations are
Kilbas, A. A., Zhukovskaya, N. V.
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Abstract and Applied AnalysisMSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak +2 more
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On the Generalized Class of Multivariable Humbert‐Type Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and Khan, a class of generalized Humbert polynomials in two variables etc.
B. B. Jaimini +4 more
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A Unified Group-Theoretic Method on Improper Partial Semi-Bilateral Generating Functions [PDF]
, 2008 2000 Mathematics Subject Classification: 33A65, 33C20.A unifed group-theoretic method of obtaining more general class of generating functions from a given class of improper partial semi-bilateral generating functions involving Laguerre and Gegenbauer ...
Sarkar, Asit Kumar
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Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
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Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions [PDF]
, 2007 Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating ...
Zivorad Tomovski, Tomovski, Živorad
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