A note on the new extended beta and gauss hypergeometric functions
MetadataShow full item record
CitationGoswami, A., Jain, S., Agarwal, P., & Araci, S. (January 01, 2018). A Note on the New Extended Beta and Gauss Hypergeometric Functions. Applied Mathematics & Information Sciences, 12, 1, 139-144.
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and the confluent hypergeometric function 1F1. Then we investigate to present certain properties and formulas associated with these three extended functions. The results presented here, being very general, are pointed out to be specialized to yield numerous known and new representations and formulas.
SourceApplied Mathematics and Information Sciences
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 ...
Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers In the present paper, firstly we find a number of poles of generating functions of Bernoulli numbers and associated Euler numbers, denoted by n(a, B) and n(a, E), respectively. Secondly, we derive the mean value of a ...
Araci, Serkan; Bagdasaryan, Armen; Ozel, Cenap; Srivastava, H. M. (NATURAL SCIENCES PUBLISHING CORP-NSP, 2014-11)The main object of this paper is to obtain several symmetric properties of the q-zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials. ...