The main object of this paper is to show how readily some general results on bilinear, bilateral, or mixed multilateral generating functions for the Bessel polyno-Ε½ . mials would provide unifications and generalizations of numerous generating functions which were proven recently by using group-theor
Some General Families of Generating Functions for the Laguerre Polynomials
β Scribed by T.M. Rassias; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 299 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The orthogonality of the generalized Laguerre polynomials, [L (:) n (x)] n 0 , is a well known fact when the parameter : is a real number but not a negative integer. In fact, for &1<:, they are orthogonal on the interval [0, + ) with respect to the weight function \(x)=x : e &x , and for :<&1, but n
Starting with a subgeometry \(\Omega\) embedded in a \(\beta\)-dimensional projective space \(P G(\beta, q)\), \(\beta \geqslant 1\), we construct inductively a series of rank \(n\) residually connected geometries \(\Gamma^{(n, \beta, \Omega)}\), \(n \geqslant \beta\), by putting \(\Gamma^{(\beta, \