Certain Indefinite Integrals Involving Lucas Polynomials and Harmonic Number

Dr. Salahuddin; Dr. Salahuddin

Authors

Dr. Salahuddin
Dr. Salahuddin

Polylogarithm; Lucas polynomials; Harmonic Number; Gaussian Hypergeometric Function

Abstract

In this paper we have established certain indefinite integrals involving Harmonic number and Lucas Polynomials. The results represent here are assume to be new.

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How to Cite

Certain Indefinite Integrals Involving Lucas Polynomials and Harmonic Number. (2012). Global Journal of Science Frontier Research, 12(F11), 37-41. https://journalofscience.org/index.php/GJSFR/article/view/100388

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References

Milton Abramowitz, Irene Stegun (1970) Handbook of Mathematical Functions with Formulas , Graphs , and Mathematical Tables.

Arthur, Gregory, Jennifer Quinn (2002) A Stirling Encounter with Harmonic Numbers. 75(2), 95-103.

G Arfken (1985) Mathematical Methods for Physicists.

Jesús Guillera, Jonathan Sondow (2008) Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent. 16(3), 247-270.

E Jahnke, F Emde (1945) Tables of Functions with Formulae and Curves.

Frank Olver, W Lozier, M Daniel, Ronald Boisvert, C Clark (2010) NIST Handbook of Mathematical Functions.

Paolo Ricci, Emilio (1995) Generalized Lucas polynomials and Fibonacci polynomials. 4, 137-146.

Salahuddin (2012) Hypergeometric Form of Certain Indefinite Integrals. 12, 37-41.

Elias Stein, Guido Weiss (1971) Introduction to Fourier Analysis on Euclidean Spaces (PMS-32).

Nico Temme (1996) Special Functions: An Introduction to the Classical Functions of Mathematical Physics.

E Whittaker, G Watson (1962) A Course of Modern Analysis.

Norbert Wiener (1958) The Fourier Integral and Certain of its Applications.