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We aim to introduce a further extension of a family of the extended Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate several interesting properties of the extended function such as its integral representations which provide extensions of various earlier corresponding results of two and one variables, its summation formula, its Mellin-Barnes type contour integral representations, its computational representation and fractional derivative formulas. A multi-parameter extension of the extended Hurwitz-Lerch Zeta function of two variables is also introduced. Relevant connections of certain special cases of the main results presented here with some known identities are pointed out.
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참고문헌 (25)
참고문헌 신청
A. A. Kilbas / 2006 / Theory and Applications of Fractional Differential Equations / Elsevier (North-Holland) Science Publishers
A. Erdelyi / 1953 / Higher Transcendental Functions. Vol. I / McGraw-Hill Book Company
A. M. Mathai / 1973 / Generalized Hypergeometric Functions with Applica-tions in Statistics and Physical Sciences / Springer-Verlag
A. M. Mathai / 1978 / The H-function with Applications in Statistics and Other Disciplines / Wiley Eastern Ltd. New Delhi and John Wiley and Sons, Inc
A. M. Mathai / 2010 / The H-Functions: Theory and Appli-cations / Springer
A. Erdelyi / 1953 / Higher Transcendental Functions. Vol. I / McGraw-Hill Book Company
A. M. Mathai / 1973 / Generalized Hypergeometric Functions with Applica-tions in Statistics and Physical Sciences / Springer-Verlag
A. M. Mathai / 1978 / The H-function with Applications in Statistics and Other Disciplines / Wiley Eastern Ltd. New Delhi and John Wiley and Sons, Inc
A. M. Mathai / 2010 / The H-Functions: Theory and Appli-cations / Springer
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