We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
SERIES EXPANSIONS FOR POWERS OF SINC FUNCTION AND CLOSED-FORM EXPRESSIONS FOR SPECIFIC PARTIAL BELL POLYNOMIALS.
- Authors
Feng Qi; Taylor, Peter
- Abstract
In the paper, with the aid of the Faà di Bruno formula, in terms of the central factorial numbers and the Stirling numbers of the second kinds, the authors derive several series expansions for any positive integer powers of the sinc and sinhc functions, discover several closed-form expressions for partial Bell polynomials of all derivatives of the sinc function, establish several series expansions for any real powers of the sinc and sinhc functions, and present several identities for central factorial numbers of the second kind and for the Stirling numbers of the second kind.
- Subjects
POWER series; PARTIAL sums (Series); DERIVATIVES (Mathematics); POLYNOMIALS; FACTORIALS; CHEBYSHEV polynomials
- Publication
Applicable Analysis & Discrete Mathematics, 2024, Vol 18, Issue 1, p92
- ISSN
1452-8630
- Publication type
Article
- DOI
10.2298/AADM230902020Q