Zobrazeno 1 - 10
of 827
pro vyhledávání: '"Mehler–Heine formula"'
Publikováno v:
Frontiers In Orthogonal Polynomials and Q-series, 373-392
STARTPAGE=373;ENDPAGE=392;TITLE=Frontiers In Orthogonal Polynomials and Q-series
STARTPAGE=373;ENDPAGE=392;TITLE=Frontiers In Orthogonal Polynomials and Q-series
We observe that the linearization coefficients for ultraspherical polynomials are the orthogonality weights for Racah polynomials with special parameters. Then it turns out that the linearization sum with such a Racah polynomial as extra factor inser
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06fa7c4c54acbf09bd27a572999aa42a
https://hdl.handle.net/11245.1/1e19118b-b900-415f-96ad-a9b23f7cf97a
https://hdl.handle.net/11245.1/1e19118b-b900-415f-96ad-a9b23f7cf97a
Publikováno v:
Applied Mathematics and Computation. 314:65-79
We consider a varying discrete Sobolev inner product such as ( f , g ) S = ∫ f ( x ) g ( x ) d μ + M n f ( j ) ( c ) g ( j ) ( c ) , where μ is a finite positive Borel measure supported on an infinite subset of the real line, c is adequately loca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::032d8ecbb3450b9f590e9bd2ca76a0c5
https://doi.org/10.1016/j.amc.2017.06.020
https://doi.org/10.1016/j.amc.2017.06.020
Autor:
Zhi-Guo Liu
Publikováno v:
Journal of Mathematical Analysis and Applications. 454:1-17
Using the theory of analytic functions of several complex variables, we prove that if an analytic function in several variables satisfies a system of partial differential equations, then, it can be expanded in terms of the product of the bivariate He
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee221872c18ba3168b06d745f0b4b161
https://doi.org/10.1016/j.jmaa.2017.04.066
https://doi.org/10.1016/j.jmaa.2017.04.066
Autor:
Sotirios E. Notaris
Publikováno v:
BIT Numerical Mathematics. 58:179-198
It is well known that the Gauss–Kronrod quadrature formula does not always exist with real and distinct nodes and positive weights. In 1996, in an attempt to find an alternative to the Gauss–Kronrod formula for estimating the error of the Gauss q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e9ef5cfbd3d3e9dbe00cf8cfb6dd4fa
https://doi.org/10.1007/s10543-017-0672-y
https://doi.org/10.1007/s10543-017-0672-y
Autor:
Waghamore P. Harina, S. Rajeshwari
Publikováno v:
Fasciculi Mathematici. 58:57-75
The purpose of the paper is to study the uniqueness of entire and meromorphic functions sharing a small function with finite weight. The results of the paper improve and extend some recent results due to Abhijit Banerjee and Pulak Sahoo [3].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d39694e3f426bc03e60c4ce528107e96
https://doi.org/10.1515/fascmath-2017-0005
https://doi.org/10.1515/fascmath-2017-0005
Autor:
Waleed M. Abd-Elhameed
Publikováno v:
Analysis and Mathematical Physics. 9:73-98
In this paper, a new formula relating Jacobi polynomials of arbitrary parameters with the squares of certain fractional Jacobi functions is derived. The derived formula is expressed in terms of a certain terminating hypergeometric function of the typ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2b9552a28adec3352c5868308367f73
https://doi.org/10.1007/s13324-017-0183-7
https://doi.org/10.1007/s13324-017-0183-7
Publikováno v:
Mathematical Modeling and Computing. 4:87-95
Побудовано математичну модель руху газу в трубопроводах для випадку, коли не- усталений процес описано похiдною дробового порядку за ча
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6cf200aa860cfc4e8bdec0beda8a2d6
https://doi.org/10.23939/mmc2017.01.087
https://doi.org/10.23939/mmc2017.01.087
Autor:
Karol Pąk, Artur Korniłowicz
Publikováno v:
Formalized Mathematics, Vol 25, Iss 2, Pp 87-92 (2017)
Summary In the article we formalized in the Mizar system [2] the Vieta formula about the sum of roots of a polynomial anxn + an− 1 xn− 1 + ··· + a 1 x + a 0 defined over an algebraically closed field. The formula says that x 1 + x 2 + ⋯ + x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38306807b3c911013e76a2323a28e60c
https://doaj.org/article/ec98748f65574827bdc1d91dc25cdc19
https://doaj.org/article/ec98748f65574827bdc1d91dc25cdc19
Autor:
Z. Song, Roderick Wong
Publikováno v:
Studies in Applied Mathematics. 139:179-217
In this paper, we study the asymptotic behavior of the Pseudo-Jacobi polynomials Pn(z;a,b) as n→∞ for z in the whole complex plane. These polynomials are also known as the Romanovski–Routh polynomials. They occur in quantum mechanics, quark phy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1c0460906988013e0124a670e17eb2a
https://doi.org/10.1111/sapm.12177
https://doi.org/10.1111/sapm.12177
Autor:
Karl-Erik Thylwe, Patrick McCabe
Publikováno v:
Journal of Mathematical Chemistry. 55:1638-1648
A decomposition of Legendre polynomials into propagating angular waves is derived with the aid of an amplitude-phase method. This decomposition is compared with the ’Nussenzveig/Fuller’ so called near/far-side decomposition of Legendre polynomial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02461a9cf377e4367e7a4f4242e98c0a
https://doi.org/10.1007/s10910-017-0752-x
https://doi.org/10.1007/s10910-017-0752-x