Multiplication formulas for Apostol-type polynomials and multiple alternating sums

DOI10.1134/S0001434612010051zbMath1285.11039MaRDI QIDQ2435911

Qiu-Ming Luo

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

recursive formulaalternating sumApostol-Bernoulli numbers and polynomialsgeneralized multinomial identitymultinomial identityApostol-Euler numbers and polynomialsApostol-type polynomialsRaabe's multiplication formula\(\lambda\)-multiple alternating sumApostol-Genocchi numbers and polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items

On Generalized Lagrange-Based Apostol-type and Related Polynomials ⋮ An extension of generalized Apostol-Euler polynomials ⋮ A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Expansion formulas for Apostol type Q-Appell polynomials, and their special cases

Cites Work

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• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• Applications of a recurrence for the Bernoulli numbers
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• On the Lerch zeta function
• Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
• The Multiplication Formulas for the Bernoulli and Euler Polynomials