Generalization of a class of polynomials

• Autorzy: Shukla A. , Prajapati J.
• Języki publikacji: EN

Abstrakty

EN

An attempt is made to investigate a class of polynomials defined in form of Rodrigues type formula and Mittag-Leffler Function. Some generating relations and finite summation formulae have also been obtained.

Słowa kluczowe

EN

Mittag-Leffler function; generating ralations; finite summation formulae

PL

funkcja Mittag-Lefflera; relacja tworząca; skończone sumowania

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 4
• Strony: 819--826
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Shukla A.

autor

Prajapati J.

• Department of Mathematics S. V. National Institute of Technology Surat-395007, India,

Bibliografia

• [1] A. M. Chak, A class of polynomials and generalization of Stirling numbers, Duke J. Math. 23 (1956), 45-55.
• [2] S. K. Chartterjea, On generalization of Laguerre polynomials, Rend. Mat. Univ. Padova 34 (1964), 180-190.
• [3] H. W. Gould and A. T. Hopper, Operational formulas connected with two generalizations of Hermite polynomials, Duke Math. J. 29 (1962), 51-63.
• [4] Mario N. Berberan e Santos, Properties of the Mittag-Leffler relaxation function, J. Math. Chemistry, 38(4) (2005), 629-635.
• [5] H. B. Mittal, A generalization of Laguerre polynomials, Publ. Math. Debrecen, 18 (1971), 53-88.
• [6] H. B. Mittal, Operational representations for the generalized Laguerre polynomials, Glasnik Mat. Ser III, 6(26) (1971), 45-53.
• [7] H. B. Mittal, Bilinear and bilateral generating relations, Amer. J. Math. 99 (1977), 23-45.
• [8] K. R. Patil and N. K. Thakare, Operational formulas for a function defined by a generalized Rodrigues formula-II, Sci. J. Shivaji Univ. 15 (1975), 1-10.
• [9] T. R. Prabhakar and Suman Rekha, Some results on the polynomials [...wzór...], Rocky Mountain J. Math. 8(4) (1978), 751-754.
• [10] E. D. Rainville, Special Functions, The Macmillan Company, New York, 1960.
• [11] R. P. Singh, On generalized Truesdell polynomials, Rivistade Mathematica 8 (1968), 345-353.
• [12] A. N. Srivastava and S. N. Singh, Some generating relations connected with a function defined by a generalized Rodrigues formula, Indian J. Pure Appl. Math. 10(10) (1979), 1312-1317.
• [13] H. M. Srivastava, Some biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 98(1) (1982), 235-250.
• [14] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Ellis Horwood Limited, Chichester, 1984.