A Class of Addition Theorems†
Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 438-445
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Recently, H. M. Srivastava extended certain interesting generating functions of L. Carlitz to the forms: and where are general oncand many-parameter sequences of functions. In the present paper some general addition formulas for analogous sequences of functions are derived, and a number of interesting applications of the main results are given.
Mots-clés :
33A65, 33A70, Secondary 10A40, Generating functions, addition formulas, Taylor's theorem, Leibniz's formula, Bernoulli polynomials, Euler polynomials, Hermite polynomials, Laguerre polynomials, biorthogonal polynomials, Taylor's series, Lagrange's expansion theorem.
Srivastava, H. M.; Lavoie, J.-L.; Tremblay, Richard. A Class of Addition Theorems†. Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 438-445. doi: 10.4153/CMB-1983-072-1
@article{10_4153_CMB_1983_072_1,
author = {Srivastava, H. M. and Lavoie, J.-L. and Tremblay, Richard},
title = {A {Class} of {Addition} {Theorems{\textdagger}}},
journal = {Canadian mathematical bulletin},
pages = {438--445},
year = {1983},
volume = {26},
number = {4},
doi = {10.4153/CMB-1983-072-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-072-1/}
}
TY - JOUR AU - Srivastava, H. M. AU - Lavoie, J.-L. AU - Tremblay, Richard TI - A Class of Addition Theorems† JO - Canadian mathematical bulletin PY - 1983 SP - 438 EP - 445 VL - 26 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-072-1/ DO - 10.4153/CMB-1983-072-1 ID - 10_4153_CMB_1983_072_1 ER -
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