ON FOURIER-PARSEVAL KERNELS PART I

Authors

  • M ABDELLI Université Constantine 1
  • A ABDESSEMED Université Constantine 1

Keywords:

Fourier series, Fourier coefficients, Analytic and Generating functions, Series and Integrals

Abstract

First of all, we point out in this paper, the Fourier-Parseval Kernels méthod.
Then we apply this technique in order to study a class of kernels for wich the Poisson Wallis and Euler’s integrals are particular cases.
Thus, remarkable properties and identities are established

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Author Biographies

M ABDELLI, Université Constantine 1

Département de Mathematiques Faculté des Sciences

A ABDESSEMED, Université Constantine 1

Département de Mathematiques Faculté des Sciences

References

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- Abdelli . M and Abdessemed.A. "On Fourier- Parseval

Kernels, Part II ". In preparation

- Abramowitz.M and Stegun.I.A. "Handbook of Mathematical

Functions".Dover. Publ. Inc. New York. 1972

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and Products". Academic. Press. New York, San Francisco,

London. 1965.

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Concretes" 2nd edition Int. Thomson Publishing France 1988

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numériques et Formulaires" ed. S.P.E.S. Lausanne.1978.

- Titchmarsh.E.C "The theory of Functions" Oxford. Univ.

press. 1985.

- Zygmund. A "Tri gonometric Seri es". Cambridge. Uni v.

Press. Vol I and II. 1968

Published

2007-06-01

How to Cite

ABDELLI, M., & ABDESSEMED, A. (2007). ON FOURIER-PARSEVAL KERNELS PART I. Sciences & Technology. A, Exactes Sciences, (23), 5–10. Retrieved from https://revue.umc.edu.dz/a/article/view/171

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