-extensions for the Apostol–Genocchi polynomials.

Luo, Qiuming

Displaying similar documents to “ $q$ -extensions for the Apostol–Genocchi polynomials.”

On multiple interpolation functions of the Nörlund-type $q$ -Euler polynomials.

Açıkgöz, Mehmet, Simsek, Yilmaz (2009)

Abstract and Applied Analysis

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$q$ -Genocchi numbers and polynomials associated with $q$ -Genocchi-type $l$ -functions.

Simsek, Yilmaz, Cangül, Ismail Naci, Kurt, Veli, Kim, Daeyeoul (2008)

Advances in Difference Equations [electronic only]

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A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function

M. C. Lettington (2013)

Acta Arithmetica

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We study the interplay between recurrences for zeta related functions at integer values, 'Minor Corner Lattice' Toeplitz determinants and integer composition based sums. Our investigations touch on functional identities due to Ramanujan and Grosswald, the transcendence of the zeta function at odd integer values, the Li Criterion for the Riemann Hypothesis and pseudo-characteristic polynomials for zeta related functions. We begin with a recent result for ζ(2s) and some seemingly new Bernoulli...

On some arithmetical properties of the Genocchi numbers and polynomials.

Park, Kyoung Ho, Kim, Young-Hee (2008)

Advances in Difference Equations [electronic only]

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Interpolation functions of $q$ -extensions of Apostol's type Euler polynomials.

Hwang, Kyung-Won, Kim, Young-Hee, Kim, Taekyun (2009)

Journal of Inequalities and Applications [electronic only]

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On the apostol-bernoulli polynomials

Qiu-Ming Luo (2004)

Open Mathematics

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In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.