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A FURTHER GENERALIZATION OF EXTENDED HURWITZ-LERCH ZETA FUNCTION OF TWO VARIABLES

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초록

In the recent years, several extensions of Hurwitz Lerch Zeta function of two variables have been established by several authors in di erent ways. In this paper, we aim to generalize an extended Hurwitz Lerch Zeta function with the help of extended generalized beta function B( ; ;m) p (x; y). We further investigate its integral representations and various other properties like Mellin Transformation and other transformation formulas. Some interesting special cases of our results are also pointed out.

Abstract

In the recent years, several extensions of Hurwitz Lerch Zeta function of two variables have been established by several authors in di erent ways. In this paper, we aim to generalize an extended Hurwitz Lerch Zeta function with the help of extended generalized beta function B( ; ;m) p (x; y). We further investigate its integral representations and various other properties like Mellin Transformation and other transformation formulas. Some interesting special cases of our results are also pointed out.

참고문헌 (16)

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  11. 이동명, "GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS", 호남수학학술지, 33(2), pp.187~206 (2011), 호남수학회
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  14. R.K. Parmar, "Further generalization of the extended Hurwitz Lerch Zeta functions", Bol. Soc. Paran. Mat, 37(1), pp.177~190 (2019)
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