The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers
In a recent paper Dattoli and Srivastava , by resorting to umbral calculus, conjectured several generating functions involving harmonic numbers. In this sequel to their work our aim is to rigorously demonstrate the truth of the Dattoli-Srivastava conjectures by making use of simple analytical arguments. In addition, one of these conjectures is stated and proved in more general form. (C) 2009 Elsevier Inc. All rights reserved.
Keywords:Harmonic numbers / Digamma function / Generating function / Entire exponential integral / Complementary incomplete gamma function / Exponential integral / Generalized hypergeometric function / Bessel function
Source:Applied Mathematics and Computation, 2010, 215, 11, 4040-4043
- Ministry of Science of the Republic of Serbia [142025, 144004]
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