Series expansions for real powers of sinc function and closed-form expression for specific partial Bell polynomials

DOI10.2298/aadm230902020qMaRDI QIDQ6567841

Feng Qi, Peter D. Taylor

Publication date: 5 July 2024

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

series expansionpowerFaà di Bruno formulaStirling number of the second kindsinc functioncombinatorial proofclosed-form expressionpartial Bell polynomialcentral factorial number of the second kindsinhc functionweighted Stirling number of the second kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Polynomials in number theory (11C08) Special sequences and polynomials (11B83) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Exponential and trigonometric functions (33B10)

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