The Use of Special Bilinear Functions in Computing Some Special Funtions

  • Ali M. Awin Department of Mathematics, University of Tripoli, P.O.Box 13217, Tripoli, Libya
Keywords: Vectors, convolution, n-tuples, Bernoulli, Hermite, Legendre, polynomials, quacroms, algorithm.

Abstract

In this paper we give, at the beginning, a very quick review of the subject of bilinear functions in connection with the convolution of two n-tuples vectors(originally named quacroms); then we summarize some of its important applications such as the calculation of the product of two polynomials and hence two integers and their use in representing certain quantities. Then we divert our attention towards the main topic of this paper and use these special bilinear functions in computing special functions as in the case of Bernoulli, Hermite, and Legendre polynomials through simple recurrence relations using related linear equations; a related algorithm will then be discussed. Moreover, the first few polynomials of each fore-mentioned ones are computed.

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References

Awin A.M., Quacroms and their applications, Int.J.Math.Educ.Sci.Technol.,(Jan.1982),93-98.

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Awin A.M., Algebra of quacroms, 1995,Technical Report ,ICTP ,Trieste ,IC/95/189.

Awin A.M.,On the use of special bilinear functions to compute Bernoulli polynomials,International Journal of Computers and Technology,Vol.14,No.1 (2014)pp5337-5342.

Handbook of Mathematical Functions, Ed. Abramowitz M. and Stegun A. 1965, Dover Pub. ,N.Y., pp 803-820.

Arfken G. ,in Mathematical Methods for Physicists,3 rd ed.,Academic Press,Orlando(1985)pp 416,646,714.

Published
2015-08-19
How to Cite
Awin, A. M. (2015). The Use of Special Bilinear Functions in Computing Some Special Funtions. Journal of Progressive Research in Mathematics, 5(1), 437-443. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/336
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Articles