๐”– Bobbio Scriptorium
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The Whittaker constant and successive derivatives of entire functions

โœ Scribed by J.D Buckholtz


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
681 KB
Volume
3
Category
Article
ISSN
0021-9045

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The Neumann series representation for the Bessel functions and Neumann functions is generalized for the regular and irregular solutions of the Kummer equation. This representation results in a convenient algorithm for the computation of a large family of special functions, e.g., most of the soluble

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We prove the existence of a three dimensional potential, UR(r), whose S-wave scattering amplitude has the complex zeros of the Riemann Zeta function as "redundant poles." The potential is a C" function on O<r < co, and JR r lUR(r)I exp(ar)dr < co, for O<a<21,, where Ai is the ordinate of the first z