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Matematicheskie Zametki, 2012, Volume 91, Issue 1, Pages 54–66
DOI: https://doi.org/10.4213/mzm6331 (Mi mzm6331) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Multiplication Formulas for Apostol-Type Polynomials and Multiple Alternating Sums

Qiu-Ming Luo

Department of Mathematics, Chongqing Normal University
Full-text PDF (495 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm6331
Abstract: We investigate multiplication formulas for Apostol-type polynomials and introduce $\lambda$-multiple alternating sums, which are evaluated by Apostol-type polynomials. We derive some explicit recursive formulas and deduce some interesting special cases that involve the classical Raabe formulas and some earlier results of Carlitz and Howard.
Keywords: Apostol-type polynomials, Apostol–Bernoulli numbers and polynomials, Apostol–Euler numbers and polynomials, Apostol–Genocchi numbers and polynomials, multinomial identity, generalized multinomial identity, recursive formula, Raabe's multiplication formula, alternating sum, $\lambda$-multiple alternating sum.
Received: 16.09.2008
Revised: 06.04.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 1, Pages 46–57
DOI: https://doi.org/10.1134/S0001434612010051
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: Qiu-Ming Luo, “Multiplication Formulas for Apostol-Type Polynomials and Multiple Alternating Sums”, Mat. Zametki, 91:1 (2012), 54–66; Math. Notes, 91:1 (2012), 46–57
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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