Zobrazeno 1 - 10
of 329
pro vyhledávání: '"Mourad E. H. Ismail"'
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-6 (2020)
Abstract In this article, we present a necessary and sufficient condition under which sequences are minimal completely monotonic.
Externí odkaz:
https://doaj.org/article/8e98ba685cad47d98c85c03b589ba14f
Autor:
Joaquin Bustoz, Mourad E. H. Ismail
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 1, Pp 1-7 (1997)
A method is outlined to express a Turán determinant of solutions of a three term recurrence relation as a weighted sum of squares. This method is shown to imply the positivity of Turán determinants of symmetric Pollaczek polynomials, Lommel polynom
Externí odkaz:
https://doaj.org/article/a1002b0e57954d878a9bc63ba3755346
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 15, Iss 3, Pp 469-480 (1992)
Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtained as limite when λ0→0+ of the corresponding quantities. In particular the case of finite population is discussed in full detail. Pure birth and d
Externí odkaz:
https://doaj.org/article/c6d4fe5d270a4362b07ca7e6aae3f9bb
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 3, Pp 613-615 (1997)
We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Externí odkaz:
https://doaj.org/article/2ce56ec418ea45a4b6948daeb770b7e7
Publikováno v:
The Ramanujan Journal. 61:1-6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f6abc28c8c496a1e18a7a1a6210f4d4
https://doi.org/10.1007/s11139-023-00732-2
https://doi.org/10.1007/s11139-023-00732-2
Autor:
Mourad E. H. Ismail
The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Its encyclopedic coverage includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials
Autor:
Gaurav Bhatnagar, Mourad E. H. Ismail
Publikováno v:
The Ramanujan Journal. 61:487-514
We study orthogonal polynomials associated with a continued fraction due to Hirschhorn. Hirschhorn's continued fraction contains as special cases the famous Rogers--Ramanujan continued fraction and two of Ramanujan's generalizations. The orthogonalit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::660f859357fb107c91132ee06c9066e7
https://doi.org/10.1007/s11139-021-00528-2
https://doi.org/10.1007/s11139-021-00528-2
Publikováno v:
The European Physical Journal Plus. 137
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe4b230ba837695cfdb6f389cfbf720a
https://doi.org/10.1140/epjp/s13360-022-03029-3
https://doi.org/10.1140/epjp/s13360-022-03029-3
Autor:
Ruiming Zhang, Mourad E. H. Ismail
Publikováno v:
Analysis and Applications. 20:1-18
In this paper, we use an identity connecting a modified [Formula: see text]-Bessel function and a [Formula: see text] function to give [Formula: see text]-versions of entries in the Lost Notebook of Ramanujan. We also establish an identity which give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ee4f46a12b6a6634799a78b6ccb578b
https://doi.org/10.1142/s0219530521500093
https://doi.org/10.1142/s0219530521500093
Autor:
Plamen Simeonov, Mourad E. H. Ismail
Publikováno v:
The Ramanujan Journal. 53:357-387
We introduce holomorphic Hermite polynomials in n complex variables that generalize the Hermite polynomials in n real variables introduced by Hermite in the late 19th century. We discuss cases in which these polynomials are orthogonal and construct a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c23688b1c1c8079ec258b9de442c4c14
https://doi.org/10.1007/s11139-020-00312-8
https://doi.org/10.1007/s11139-020-00312-8