On polynomials connected to powers of Bessel functions

DOI10.1142/S1793042114500249zbMath1305.33010arXiv1306.1224OpenAlexW2168063112MaRDI QIDQ2876602

Christophe Vignat, Victor H. Moll

Publication date: 19 August 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1224

zbMATH Keywords

Bessel functionsBell polynomialsBessel zeta functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

MacLaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function, Products of Bessel functions and associated polynomials, Taylor's series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of pi, Analytical results for the distribution of first return times of random walks on random regular graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The 2-adic valuation of a sequence arising from a rational integral
• Powers of modified Bessel functions of the first kind
• A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral
• The Finite Calculus Associated with Bessel Functions
• On powers of Bessel functions
• Sum rules for zeros of Bessel functions and an application to spherical Aharonov-Bohm quantum bags
• Three-Step and Four-Step Random Walk Integrals
• From sequences to polynomials and back, via operator orderings