Results 111 to 120 of about 180,252 (161)
Integral representations for the product of certain polynomials of two variables
Ain Shams Engineering Journal, 2013 The main object of this paper is to investigate several integral representations for the product of two polynomials of two variables, e.g. Laguerre, Jacobi, Generalized Bessel, Generalized Rice, Krawtchouk, Meixner, Gottlieb and Poisson–Charlier ...
Mumtaz Ahmad Khan +2 more
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Biorthogonal polynomials suggested by the Jacobi polynomials [PDF]
Pacific Journal of Mathematics, 1982 Madhekar, H. C., Thakare, N. K.
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Advances in Mathematical Physics, 2014 The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.
A. H. Bhrawy, M. A. Alghamdi
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Jacobi-Stirling polynomials and $P$-partitions
European Journal of Combinatorics, 2012 We investigate the diagonal generating function of the Jacobi-Stirling numbers of the second kind $ \JS(n+k,n;z)$ by generalizing the analogous results for the Stirling and Legendre-Stirling numbers. More precisely, letting $\JS(n+k,n;z)=p_{k,0}(n)+p_{k,1}(n)z+...+p_{k,k}(n)z^k$, we show that $(1-t)^{3k-i+1}\sum_{n\geq0}p_{k,i}(n)t^n$ is a polynomial ...
Ira M. Gessel, Zhicong Lin, Jiang Zeng
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Multiple Wilson and Jacobi–Piñeiro polynomials
Journal of Approximation Theory, 2005 22 pages, 2 ...
Bernhard Beckermann +2 more
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Hankel determinants and Jacobi continued fractions for $q$-Euler numbers
Comptes Rendus. MathématiqueThe $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
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EPISTEL AN FRANZ JACOBI Epistel an Franz Jacobi ([1]) Titelseite ([1]) Nehmet die Lehre an, wie einen grossen Schatz Silber ... ([2]) Text ([3]
Jacobi, Franz +1 more
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The Generalized Finite Bivariate Biorthogonal M-Jacobi Polynomials
We introduce the finite bivariate biorthogonal M-Jacobi polynomials with the help of the finite orthogonal M polynomials and the biorthogonal polynomials suggested by the Jacobi polynomials.
ÇEKİM, BAYRAM +2 more
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The Zeros of Orthogonal Polynomials for Jacobi-Exponential Weights
Abstract and Applied Analysis, 2012 This paper gives the estimates of the zeros of orthogonal polynomials for Jacobi-exponential weights.
Rong Liu, Ying Guang Shi
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Modified Bernstein Polynomials and Jacobi Polynomials in q-Calculus
, 2005 International audienceWe introduce here a generalization of the modified Bernstein polynomials for Jacobi weights using the $q$-Bernstein basis proposed by G.M. Phillips to generalize classical Bernstein Polynomials.
Derriennic, Marie-Madeleine
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