Mellin transform of shifted Airy functions and of their products.

Autor: Abramochkin, E. G.
Předmět:
Zdroj: Integral Transforms & Special Functions; Mar2024, Vol. 35 Issue 3, p189-205, 17p
Abstrakt: The Mellin transforms of some products of two shifted Airy functions are evaluated in a closed form. The relation between the Mellin transforms of a single Airy function and the square of the function is obtained. The shifted Airy function moments of integer and half-integer order are expressed in terms of Gegenbauer polynomials. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index