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.
Кључне речи:Harmonic numbers / Digamma function / Generating function / Entire exponential integral / Complementary incomplete gamma function / Exponential integral / Generalized hypergeometric function / Bessel function
Извор:Applied Mathematics and Computation, 2010, 215, 11, 4040-4043
- Ministry of Science of the Republic of Serbia [142025, 144004]
Showing items related by title, author, creator and subject.
Electronic structure of the substitutional vacancy in graphene: density-functional and Greens function studies Nanda, B. R. K.; Sherafati, M.; Popović, Zoran S.; Satpathy, S. (New Journal of Physics, 2012)
Electronic structure of the substitutional vacancy in graphene: density-functional and Greens function studies (vol 14, 083004, 2012) Nanda, B. R. K.; Sherafati, M.; Popović, Zoran S.; Satpathy, S. (New Journal of Physics, 2013)
A Transformational Property of the Husimi Function and Its Relation to the Wigner Function and Symplectic Tomograms Andreev, V. A.; Davidovic, D. M.; Davidovic, L. D.; Davidović, Milena D.; Man'ko, V. I.; Man'ko, M. A. (Theoretical and Mathematical Physics, 2011)