Skip to main content
Have a personal or library account? Click to login
Some Srivastava-Brafman Type Generating Relations For A General Class Of Multi-Index And Multi-Variable Gould-Hopper And Dattoli Type Hypergeometric Polynomials Cover

Some Srivastava-Brafman Type Generating Relations For A General Class Of Multi-Index And Multi-Variable Gould-Hopper And Dattoli Type Hypergeometric Polynomials

Journal of Applied Mathematics, Statistics and Informatics
Volume 10 (2014): Issue 1 (May 2014)
By: ,   and    
Open Access
|Jul 2014
References

References

  1. 1. Ahmad, Nadeem;Ph.D. Thesis, Jamia Millia Islamia(A Central University), New Delhi, India, 2006.
    Search in Google Scholar
  2. 2. Andhare, P. G. and Chaudhary, M. S.; Generating Function Involving Generalized Hermite Polynomials,(2003), 1-3.
    Search in Google Scholar
  3. 3. Bell, W. W.;D. Van Nostrand Company Ltd., London, 1968.
    Search in Google Scholar
  4. 4. Bhadana, K. G.;Ph.D. Thesis, University of Kota, Kota, Rajasthan, India, 2007.
    Search in Google Scholar
  5. 5. Brafman, F.; Generating Functions of Jacobi and Related Polynomials,2 (1951), 942-949.
    Open DOISearch in Google Scholar
  6. 6. Carlitz, L. and Srivastava, H. M.; Some New Generating Functions for the Hermite Polynomials,(2) (1990), 513-520.
    Open DOISearch in Google Scholar
  7. 7. Dattoli, G.; Differential Identities, Generalized Polynomials and Applications in Physics and Mathematics,(2000).
    Open DOISearch in Google Scholar
  8. 8. Dattoli, G., Chiccoli, C., Lorenzutta, S., Maino, G. and Torre, A.; Generalized Bessel Functions and Generalized Hermite Polynomials,(1993), 509-516.
    Open DOISearch in Google Scholar
  9. 9. Dattoli, G., Lorenzutta, S. and Sacchetti, D.; A Note on Operational Rules for Hermite and Laguerre Polynomials, Operational Rules and Special Polynomials,(2) (2000) 227-238.
    Search in Google Scholar
  10. 10. Dattoli, G., Srivastava, H. M. and Khan, S.; Operational Versus Lie-algebraic Methods and the Theory of Multi-variable Hermite polynomials,(1) (2005), 81-91.
    Open DOISearch in Google Scholar
  11. 11. Dattoli, G., Srivastava, H. M. and Sacchetti, D.; The Hermite Polynomials and the Bessel Functions from a General Point of View,(2003), 3633-3642.
    Open DOISearch in Google Scholar
  12. 12. Dattoli, G., Srivastava, H. M. and Zhukovsky, K; Orthogonality Properties of the Hermite and Related Polynomials, J.(1) (2005), 165-172.
    Open DOISearch in Google Scholar
  13. 13. Dattoli, G., Srivastava, H. M. and Zhukovsky, K; Operational Methods and Differential Equations with Applications to initial-Value Problems,(2) (2007), 979-1001.
    Open DOISearch in Google Scholar
  14. 14. Dattoli, G., Torre, A. and Lorenzutta, S.; Operational Identities and Properties of Ordinary and Generalized Special Functions,(1999), 399-414.
    Open DOISearch in Google Scholar
  15. 15. Djordjević, G. B. and Srivastava, H. M.; Some Generating Functions and Other Properties Associated with the Generalized Hermite and Related Polynomials,(12) (2011), 895-906.
    Open DOISearch in Google Scholar
  16. 16. Gould, H. W. and Hopper, A. T.; Operational Formulas Connected with Two Generalizations of Hermite Polynomials,(1962), 51-63.
    Open DOISearch in Google Scholar
  17. 17. McBride, E. B.;(Springer Tracts in Natural Philosophy) Springer-Verlag, New York, Heidelberg, Berlin, 1971.
    Open DOISearch in Google Scholar
  18. 18. Rainville, E. D.;The Macmillan Co. Inc., New York, 1960; Reprinted by Chelsea Publ. Co. Bronx, New York, 1971.
    Search in Google Scholar
  19. 19. Srivastava, H. M.; Certain Double Integrals Involving Hypergeometric Functions,A,(1971), 1-10.
    Search in Google Scholar
  20. 20. Srivastava, H. M.; On q-Generating Functions and Certain Formulas of David Zeitlin,(1971), 64-72.
    Open DOISearch in Google Scholar
  21. 21. Srivastava, H. M.; A Note on a Generating Function for the Generalized Hermite Polynomials,=(1976), 457-461.
    Open DOISearch in Google Scholar
  22. 22. Srivastava, H. M.; Some Bilateral Generating Functions for a Certain Class of Special Functions. I and II,=(1980), 221-233 and 234-246.
    Open DOISearch in Google Scholar
  23. 23. Srivastava, H. M. and Karlsson, P. W.;Hal-sted Press (Ellis Horwood Limited, Chichester, U.K.) John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1985.
    Search in Google Scholar
  24. 24. Srivastava, H. M. and Lavoie, J.-L.; A Certain Method of Obtaining Bilateral Generating Functions,(1975), 304-320.
    Open DOISearch in Google Scholar
  25. 25. Srivastava, H. M. and Manocha, H. L.;Halsted Press (Ellis Horwood Limited, Chichester, U.K.) John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1984.
    Search in Google Scholar
DOI: https://doi.org/10.2478/jamsi-2014-0003 | Journal eISSN: 1339-0015 (formerly 1336-9180) | Journal ISSN: 1336-9180
Journal RSS Feed
Language: English
Page range: 31 - 44
Published on: Jul 15, 2014
Published by: University of Ss. Cyril and Methodius in Trnava
In partnership with: Paradigm Publishing Services
Keywords:
Generalized hypergeometric functions,
Srivastava-Daoust multi-variable hypergeometric functions,
Gould-Hopper polynomials; Classical Hermite polynomials,
Extended family of the generalized Hermite polynomials,
Generating functions,
Multi-index and Multi-variable Dattoli type polynomials,
Generating relations of Brafman, Mehler, Srivastava-Lavoie, Dattoli-Torre-Lorenzutta
MSC:
33C45,
33C47,
33C50,
33C20,
33C70,
33C80,
42C05
Related subjects:
Mathematics,
Applied mathematics

© 2014 M. I. Qureshi, Kaleem A. Quraishi, Ram Pal, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 10 (2014): Issue 1 (May 2014)
Previous article
Next article