Article

FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS F<sub>E</sub>AND F<sup>(3)</sup>

Yong-Sup KimDepartment of Mathematics Education, Wonkwang University, Iksan, KoreaAnvar HasanovInstitute of Mathematics and Information Technology, Tashkent, Uzbekistan

The Pure and Applied Mathematicsjournal2012en

ABI

Abstract

By simply splitting the hypergeometric Saran function <TEX>$F_E$</TEX> into eight parts, we show how some useful and generalized relations between <TEX>$F_E$</TEX> and Srivas- tava's hypergeometric function <TEX>$F^{(3)}$</TEX> can be obtained. These main results are shown to be specialized to yield certain relations between functions <TEX>$_0F_1$</TEX>, <TEX>$_1F_1$</TEX>, <TEX>$_0F_3$</TEX>, <TEX>${\Psi}_2$</TEX>, and their products including different combinations with different values of parameters and signs of variables.

Topics

Mathematical functions and polynomials Advanced Mathematical Identities Quantum Mechanics and Non-Hermitian Physics

Identifiers

DOI: 10.7468/jksmeb.2012.19.1.43

Citations and references

Cited by 023 references

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