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A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials - MaRDI portal

A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials (Q5742566)

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scientific article; zbMATH DE number 7054826
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English
A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials
scientific article; zbMATH DE number 7054826

    Statements

    A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials (English)
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    15 May 2019
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    Bernoulli numbers and Bernoulli polynomials
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    Euler numbers and Euler polynomials
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    Riemann and Hurwitz (or generalized) zeta functions
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    Hurwitz-Lerch zeta function
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    Lerch zeta function
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    polylogarithm function
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    multiplication formula
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    functional equation
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    Mellin transformation
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