Results 21 to 30 of about 744 (75)
Some results on a generalized ω‐Jacobi transform
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3379-3387, 2004., 2004 We introduce a generalized ω‐Jacobi transform and obtain images of certain functions under this transform. Moreover, we define a new probability density function (pdf) involving this new generalized ω‐Jacobi function. Some basic functions associated with the pdf, such as characteristic function, moments and distribution function, are evaluated.
Y. Ben Nakhi, S. L. Kalla
wiley +1 more source
Evaluation of integrals with hypergeometric and logarithmic functions
Open Mathematics, 2018 We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions.
Sofo Anthony
doaj +1 more source
The generalized hypergeometric difference equation
Demonstratio Mathematica, 2018 A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
Bohner Martin, Cuchta Tom
doaj +1 more source
Certain unified integrals associated with Bessel functions
, 2013 A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Very recently, Ali gave three interesting unified integrals involving the hypergeometric function F12.
Junesang Choi, P. Agarwal
semanticscholar +1 more source
Integral representation of the solutions to Heun′s biconfluent equation
Abstract and Applied Analysis, Volume 2004, Issue 4, Page 295-306, 2004., 2004 First, we trace the genesis of the canonical form of Heun′s biconfluent equation. Second, we present a method which allows us to find an integral expression as a solution to our equation, and finally, using the properties of Meijer G‐functions, we give an integral representation of a fundamental system of solutions to the biconfluent equation.
S. Belmehdi, J.-P. Chehab
wiley +1 more source
K‐Bessel functions in two variables
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 14, Page 909-916, 2003., 2003 The Bessel‐Muirhead hypergeometric system (or 0F1‐system) in two variables (and three variables) is solved using symmetric series, with an explicit formula for coefficients, in order to express the K‐Bessel function as a linear combination of the J‐solutions. Limits of this method and suggestions for generalizations to a higher rank are discussed.
Hacen Dib
wiley +1 more source
Asymptotic expansions for ratios of products of gamma functions
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 18, Page 1167-1171, 2003., 2003 An asymptotic expansion for a ratio of products of gamma functions is derived.
Wolfgang Bühring
wiley +1 more source
Demonstratio Mathematica, 2018 Recently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272].
Milovanović Gradimir V. +2 more
doaj +1 more source
Comments on "New hypergeometric identities arising from Gauss’s second summation theorem" [PDF]
, 2012 In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269–274] obtained a general transfor- mation involving hypergeometric functions by elementary manipulation of series.
Chopra, Purnima +3 more
core +2 more sources
SOME SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS FOR OPERATORS ON HILBERT SPACE
International Journal of Apllied Mathematics, 2019 The main object of the present paper is to investigate some results concerning a sufficient and necessary condition, coefficient estimates and distortion theorem for the class T λ δ (α,A).
Y. C. Kim, J. Choi
semanticscholar +1 more source