Research Article

GENERALIZED HEAT POLYNOMIALS

Volume: 5 Number: 2 October 15, 2017
EN

GENERALIZED HEAT POLYNOMIALS

Abstract

The present study deals with some new properties for the generalized heat polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties and also some special cases for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the generalized Heat polynomials and the generalized Lauricella functions. Finally, we get several interesting results of this theorem.

Keywords

References

  1. [1] Liu, S.-J. , Lin, S.-D., Srivastava, H.M. and Wong, M.-M. , Bilateral generating functions for the Erkus-Srivastava polynomials and the generalized Lauricella functions, App. Mathematcis and Comp., 218 (2012) 7685-7693.
  2. [2] Srivastava, H. M. and Manocha, H. L. A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
  3. [3] Srivastava, H. M. and Daoust, M.C. Certain generalized Neumann expansions associated with the Kampe de Feriet function, Nederl. Akad. Westensch. Indag. Math. 31 (1969) 449-457.
  4. [4] Erdelyi, A., Magnus, W., Oberhettinger F. and Tricomi, F. G.,Higher Transcendental Functions, Vol. II, McGraw-Hill Book Company, New York, Toronto and London, 1955.
  5. [5] Ozmen, N. and Erkus-Duman, E., On the Poisson-Charlier polynomials, Serdica Math. J. 41. (2015), 457-470.
  6. [6] Ozmen, N. and Erkus-Duman, E., Some families of generating functions for the generalized Cesaro polynomials, J. Comput. Anal. Appl., 25(4) (2018), 670-683.
  7. [7] Chan, W.-C. C. , Chyan, C.-J. and Srivastava, H. M. The Lagrange polynomials in several variables, Integral Transforms Spec. Funct. 12 (2001), 139-148.
  8. [8] Erkus, E. and Srivastava, H. M, A uni ed presentation of some families of multivariable polynomials, Integral Transform Spec. Funct. 17 (2006), 267-273.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

October 15, 2017

Submission Date

August 3, 2017

Acceptance Date

October 2, 2017

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Özmen, N. (2017). GENERALIZED HEAT POLYNOMIALS. Konuralp Journal of Mathematics, 5(2), 87-95. https://izlik.org/JA62GP69MP
AMA
1.Özmen N. GENERALIZED HEAT POLYNOMIALS. Konuralp J. Math. 2017;5(2):87-95. https://izlik.org/JA62GP69MP
Chicago
Özmen, Nejla. 2017. “GENERALIZED HEAT POLYNOMIALS”. Konuralp Journal of Mathematics 5 (2): 87-95. https://izlik.org/JA62GP69MP.
EndNote
Özmen N (October 1, 2017) GENERALIZED HEAT POLYNOMIALS. Konuralp Journal of Mathematics 5 2 87–95.
IEEE
[1]N. Özmen, “GENERALIZED HEAT POLYNOMIALS”, Konuralp J. Math., vol. 5, no. 2, pp. 87–95, Oct. 2017, [Online]. Available: https://izlik.org/JA62GP69MP
ISNAD
Özmen, Nejla. “GENERALIZED HEAT POLYNOMIALS”. Konuralp Journal of Mathematics 5/2 (October 1, 2017): 87-95. https://izlik.org/JA62GP69MP.
JAMA
1.Özmen N. GENERALIZED HEAT POLYNOMIALS. Konuralp J. Math. 2017;5:87–95.
MLA
Özmen, Nejla. “GENERALIZED HEAT POLYNOMIALS”. Konuralp Journal of Mathematics, vol. 5, no. 2, Oct. 2017, pp. 87-95, https://izlik.org/JA62GP69MP.
Vancouver
1.Nejla Özmen. GENERALIZED HEAT POLYNOMIALS. Konuralp J. Math. [Internet]. 2017 Oct. 1;5(2):87-95. Available from: https://izlik.org/JA62GP69MP
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