INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION
نویسندگان
چکیده
منابع مشابه
On Integral Operator Involving Generalized Hypergeometric Function
Due to rigorous work on integral operators and the hypergeomet-ric functions, we define here an integral operator involving generalized hypergeometric function. By means of this generalized function, we introduce new classes of analytic functions and study their properties. 1 Introduction and preliminaries. Let H be the class of functions analytic in U := {z ∈ C : |z| < 1} and A be the subclass...
متن کاملSelberg integral involving the S generalized Gauss's hypergeometric function, a class of polynomials the multivariable I-function and multivariable Aleph-functions
ABSTRACT In the present paper we evaluate the Selberg integral involving the S generalized Gauus's hypergeometric function, a multivariable Aleph-function, the multivariable I-function defined by Nambisan et al [3] and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the I-function of several variables which ...
متن کاملAn Extended Gamma Function Involving a Generalized Hypergeometric Function
The objective of this paper is to define and study new generalized extended gamma functions. A generalized extended gamma probability density function involving generalized hypergeometric function is also defined. Closed form representations of the generalized gamma functions and the moment generating function are derived in the form of H-function using inverse Mellon transform techniques. Inco...
متن کاملOn certain fractional calculus operators involving generalized Mittag-Leffler function
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...
متن کاملAn Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
In this paper we verify a conjecture of M. Vuorinen that the Muir approximation is a lower approximation to the arc length of an ellipse. Vuorinen conjectured that f(x) = 2F1( 1 2 ,− 1 2 ; 1;x) − [(1 + (1 − x)3/4)/2]2/3 is positive for x ∈ (0, 1). The authors prove a much stronger result which says that the Maclaurin coefficients of f are nonnegative. As a key lemma, we show that 3F2(−n, a, b; ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TWMS Journal of Applied and Engineering Mathematics
سال: 2019
ISSN: 2146-1147
DOI: 10.26837/jaem.572066