Skip to main content
Log in

A method for summability of hypergeometric function

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

In this paper we construct a new positive linear operator using a method for summability of hypergeometric function 2F1and we deduce particular cases of this positive linear operator.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Baskakov, V. A., An example of a sequence of linear positive operators in the space of continuous functions (Russian), Dokl. Akad. Nauk. SSSR 113(1957), 249–251.

    MathSciNet  MATH  Google Scholar 

  2. Lupaş, A., The approximation by means of some linear positive operators, Approximation Theory, Proc. International Dortmund Meeting on Approximation Theory, 1995, 201-229.

  3. Lupaş, A., Müller, M., Approximationseingenschaften der Gammaoperatoren, Math. Z. 98(1997), 208–226.

    Google Scholar 

  4. Mastroianni, G., Su un operatore lineare e positivo, Rend. Accad. Sci. Fiz. Mat. Napoli, Ser. IV, vol. XLVI, 1979.

  5. Miheşan, V., Approximation of continuous functions by means of linear positive operators, Ph. D. Thesis, Babeş-Bolyai University, Cluj-Napoca, 1997.

    Google Scholar 

  6. Miheşan, V., On a general class of Gamma approximating operators, Studia Univ. “Babeş-Bolyai”, Mathematica, volume XLVIII, Number 4(2003), 49–54.

    Google Scholar 

  7. Miheşan, V., The hypergeometric operators of first kind (in press).

  8. Miheşan, V., The hypergeometric operators of second kind (in press).

  9. Müller, M., Die folge der Gammaoperatoren, Dissertation, Stuttgart, 1967.

  10. Nikiforov, A., Ouvarov, V., Elements de la théorie des fonctions spéciales. Edition Mir, 1976.

  11. Rathore, R. K. S., Linear combinations of linear positive operators and generating relations on special functions. Ph. D. Thesis, Delhi, 1973.

  12. Szasz, O., Generalization of S. Bernstein’s polynomials to the infinite interval, J. Res. Mat. Bur. Standards, 45(1950), 239–245.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Miheşan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Miheşan, V. A method for summability of hypergeometric function. Results. Math. 46, 73–78 (2004). https://doi.org/10.1007/BF03322871

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03322871

MSC 2000

Key words

Navigation