Computation of certain integral formulas involving generalized Wright function
MetadataShow full item record
CitationKhan, N., Usman, T., Aman, M., Al-Omari, S., & Araci, S. (September 15, 2020). Computation of certain integral formulas involving generalized Wright function. Advances in Difference Equations, 2020, 1.)
The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as well. Based on the main results, some integral formulas involving different special functions connected with the generalized Wright function are explicitly established as special cases for different values of the parameters. Moreover, a Gaussian quadrature formula has been used to compute the integrals and compare with the main results by using graphical representations. © 2020, The Author(s).
SourceAdvances in Difference Equations
Showing items related by title, author, creator and subject.
Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function Araci, Serkan; Bagdasaryan, Armen; Acikgoz, Mehmet; Srivastava, H. M. (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2015-02)The Newton power-sum formulas relate to sums of powers of roots of a polynomial with the coefficients of the polynomial. In this paper we obtain formulas that relate to sums of reciprocal powers of zeros and poles of entire ...
A new extension of Srivastava's triple hypergeometric functions and their associated properties Saboor, Abdus; Rahman, Gauhar; Anjum, Zunaira; Nisar, Kottakkaran Sooppy; Araci, Serkan (De Gruyter Open Ltd, 2020)In this paper, we define a new extension of Srivastava's triple hypergeometric functions by using a new extension of Pochhammer's symbol that was recently proposed by Srivastava, Rahman and Nisar [H. M. Srivastava, G. ...
Inclusion Relations for Dini Functions Involving Certain Conic Domains Khan, Bilal; Khan, Shahid; Ro, Jong-Suk; Araci, Serkan; Khan, Nazar; Khan, Nasir (MDPI, FEB 2022)In recent years, special functions such as Bessel functions have been widely used in many areas of mathematics and physics. We are essentially motivated by the recent development; in our present investigation, we make use ...