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On Extended Hurwitz-Lerch Zeta Function

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This paper investigates an extended form Hurwitz-Lerch zeta function, as well as related integral images, ordinary and fractional derivatives, and series expan sions, using the term extended beta function. In addition, we establish a connection between the extended Hurwitz-Lerch zeta function and the Laguerre polynomials. Fur thermore, we present a probability distribution application of the extended Hurwitz-Lerch zeta functionζδ,µν,λ. Several (known and new) results are shown to follow as special cases of our findings.

Abstract

This paper investigates an extended form Hurwitz-Lerch zeta function, as well as related integral images, ordinary and fractional derivatives, and series expan sions, using the term extended beta function. In addition, we establish a connection between the extended Hurwitz-Lerch zeta function and the Laguerre polynomials. Fur thermore, we present a probability distribution application of the extended Hurwitz-Lerch zeta functionζδ,µν,λ. Several (known and new) results are shown to follow as special cases of our findings.

참고문헌 (30)

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