Skip to main content

On the Geronimus polynomial sets

  • Contributors
  • Conference paper
  • First Online:
Orthogonal Polynomials and their Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1329))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W.A. AL-SALAM and L. CARLITZ, Some orthogonal q-polynomials, Math. Nach., 30, 1965, pp. 47–61.

    Article  MathSciNet  MATH  Google Scholar 

  2. W.A. AL-SALAM and A. VERMA, On an orthogonal polynomial set, Proc. of the Konin. Nederl. Akademie van Wetensch., ser A, 85(3), 1982, pp. 335–340.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. ASKEY and J. WILSON, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Memoir 319, Amer. Math. Society, 1985.

    Google Scholar 

  4. T.S. CHIHARA, An introduction to Orthogonal Polynomials, New York 1978.

    Google Scholar 

  5. T.S. CHIHARA, Orthogonal polynomials with Brenke type generating function, Duke Math. J., 35, 1968, pp. 505–518.

    Article  MathSciNet  MATH  Google Scholar 

  6. T.S. CHIHARA, The orthogonality of a class of Brenke polynomials. Duke Math. J., 38, 1971, pp. 599–603.

    Article  MathSciNet  MATH  Google Scholar 

  7. G. FREUD, Orthogonal Polynomials, Budapest, 1971.

    Google Scholar 

  8. J. GERONIMUS, The orthogonality of some systems of polynomials, Duke Math. J., 14, 1947, 503–510.

    Article  MathSciNet  MATH  Google Scholar 

  9. W. HAHN, Über Orthogonalpolynome, die q-Differenzengleichungen genügen, Math. Nachrichten, 2, 1949, pp. 4–34.

    Article  Google Scholar 

  10. M. ISMAIL, Orthogonal polynomials in a certain class of polynomials, Bul. Inst. Polit. Din Iasi, Ser. I, 20, 1974, pp. 45–50.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Manuel Alfaro Jesús S. Dehesa Francisco J. Marcellan José L. Rubio de Francia Jaime Vinuesa

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Al-Salam, W.A., Verma, A. (1988). On the Geronimus polynomial sets. In: Alfaro, M., Dehesa, J.S., Marcellan, F.J., Rubio de Francia, J.L., Vinuesa, J. (eds) Orthogonal Polynomials and their Applications. Lecture Notes in Mathematics, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083359

Download citation

  • DOI: https://doi.org/10.1007/BFb0083359

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19489-7

  • Online ISBN: 978-3-540-39295-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics