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Autor:
Moser, Jan
In this paper we obtain a set of five new transmutations of the mother formula. Further, we obtain the second set of ten exact metafunctional equations by crossbreeding on every two elements of the previous set. Elements of the last set represent a k
Externí odkaz:
http://arxiv.org/abs/1907.12818
Autor:
Anley, Beyalfew1 (AUTHOR), Gusu, Daba Meshesha1 (AUTHOR) dabam7@gmail.com, Nigussie, Tolosa1 (AUTHOR), Giné, Jaume1 (AUTHOR) gine@matematica.udl.cat
Publikováno v:
Abstract & Applied Analysis. 11/4/2024, Vol. 2024, p1-11. 11p.
Autor:
De Micheli, Enrico
A Fourier-type integral representation for Bessel's function of the first kind and complex order is obtained by using the Gegenbuaer extension of Poisson's integral representation for the Bessel function along with a trigonometric integral representa
Externí odkaz:
http://arxiv.org/abs/1708.09715
Autor:
Moser, Jan
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduced.
Externí odkaz:
http://arxiv.org/abs/1011.3359
Autor:
Ostrovsky, E., Sirota, L.
We have introduced and investigated so-called Shlomilchs and Bells series for modified Bessel's functions, namely, their asymptotic and non-asymptotic properties, connection with Stirling's and Bell's numbers etc. We have obtained exact constants in
Externí odkaz:
http://arxiv.org/abs/0804.0089
Autor:
Chessin, Alexander S.
Publikováno v:
Annals of Mathematics, 1898 Jan 01. 12(1/6), 170-174.
Externí odkaz:
https://www.jstor.org/stable/1967538
Autor:
Bocher, Maxime
Publikováno v:
Annals of Mathematics, 1892 Jan 01. 6(4), 85-90.
Externí odkaz:
https://www.jstor.org/stable/1967107
Autor:
Bocher, Maxime
Publikováno v:
Annals of Mathematics, 1892 May 01. 6(6), 137-160.
Externí odkaz:
https://www.jstor.org/stable/1967335
Autor:
McMahon, James
Publikováno v:
Annals of Mathematics, 1893 Jan 01. 8(1/6), 57-61.
Externí odkaz:
https://www.jstor.org/stable/1967938