Remarks on some associated Laguerre integral results

• Published in: Applied mathematics letters Vol. 16; no. 7; pp. 1131 - 1136
• Main Authors: Srivastava, H.M., Mavromatis, H.A., Alassar, R.S.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.10.2003; Elsevier
• Subjects: Appell functions; Chu-Vandermonde theorem; Coulomb and oscillator systems; Degrees of freedom; Exact sciences and technology; Generalized hypergeometric function; Integral equations; Laguerre polynomials; Mathematical analysis; Mathematics; Noncentral Gamma distributions; Orthogonality property; Quantum numbers; Sciences and techniques of general use; Special functions; Degrees of freedom; Laguerre polynomials; Appell functions; Quantum numbers; Coulomb and oscillator systems; Noncentral Gamma distributions; Generalized hypergeometric function; Chu-Vandermonde theorem; Orthogonality property; Gamma distribution; Chu Vandermonde theorem; Freedom degree; Hypergeometric function; Laguerre polynomial; Orthogonality; Oscillator system; Quantum number; Appell function
• ISSN: 0893-9659; 1873-5452
• DOI: 10.1016/S0893-9659(03)90106-6

Motivated essentially by their possible need in a fairly large number of physical and chemical contexts, Mavromatis and Alassar [1] derived several associated Laguerre integral results by eliminating an unnecessary constraint used in an earlier paper on the subject by Mavromatis [2]. The main object of the present sequel to these recent works is to investigate and apply much more general families of integral formulas, involving products of two or more Laguerre polynomials, which have been considered in the mathematical literature rather extensively.