Results 31 to 40 of about 744 (75)
A generalized beta function and associated probability density
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 467-478, 2002., 2002 We introduce and establish some properties of a generalized form of the beta function. Corresponding generalized incomplete beta functions are also defined. Moreover, we define a new probability density function (pdf) involving this new generalized beta function.
Y. Ben Nakhi, S. L. Kalla
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Some properties of Wright-type generalized hypergeometric function via fractional calculus
, 2014 This paper is devoted to the study of a Wright-type hypergeometric function (Virchenko, Kalla and Al-Zamel in Integral Transforms Spec. Funct. 12(1):89-100, 2001) by using a Riemann-Liouville type fractional integral, a differential operator and Lebesgue
Snehal B. Rao +3 more
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Sufficiency for Gaussian hypergeometric functions to be uniformly convex
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 765-773, 1999., 1999 Let F(a, b; c; z) be the classical hypergeometric function and f be a normalized analytic functions defined on the unit disk đ°. Let an operator Ia,b;c(f) be defined by [Ia,b;c(f)](z) = zF(a, b; c; z)*f(z). In this paper the authors identify two subfamilies of analytic functions â±1 and â±2 and obtain conditions on the parameters a, b, c such that f â â±1 ...
Yong Chan Kim, S. Ponnusamy
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Differential equation of K-Bessel's function and its properties
, 2014 In this paper we solve a differential equation for K Bessel function. We establish a relationship between Bessel function and K -Bessel function. Finally we evaluate the generating function for KBessel function. Mathematics Subject Classification: 33B15,
K. S. Gehlot
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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 SaalschĂŒtzian hypergeometric series of unit argument
International Journal of Stochastic Analysis, Volume 8, Issue 2, Page 189-194, 1995., 1994 Transformation formulas for terminating SaalschĂŒtzian hypergeometric series of unit argument p+1Fp(1) are presented. They generalize the SaalschĂŒtzian 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 BĂŒhring
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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 BatemanâČs 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 (1882â1946) 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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SOME NEW RESULTS ASSOCIATED WITH THE GENERALIZED LOMMEL-WRIGHT FUNCTION
Acta Universitatis Apulensis, 2018 The aim of this article is to establish a new class of unified integrals associated with the generalized Lommel-Wright functions, which are expressed in terms of Wright Hypergeometric function.Some integrals involving trigonometric,generalized Bessel ...
Sirazul Haq, K. Nisar, Abdul Hakim Khan
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TurĂĄn type inequalities for q-Mittag-Leffler and q-Wright functions
, 2018 Our aim in this paper is to derive several TurĂĄn type inequalities for the q -Mittag Leffler and q -Wright functions. Moreover, we prove the monotonicity of ratios for sections of series of q -Mittag Leffler and q -Wright functions, the results is also ...
K. Mehrez
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