The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers
Апстракт
In a recent paper Dattoli and Srivastava [3], 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 functionИзвор:
Applied Mathematics and Computation, 2010, 215, 11, 4040-4043Финансирање / пројекти:
- Ministry of Science of the Republic of Serbia [142025, 144004]
DOI: 10.1016/j.amc.2009.12.011
ISSN: 0096-3003
WoS: 000273440600030
Scopus: 2-s2.0-73549113304
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2010 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3870 AB - In a recent paper Dattoli and Srivastava [3], 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. T2 - Applied Mathematics and Computation T1 - The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers VL - 215 IS - 11 SP - 4040 EP - 4043 DO - 10.1016/j.amc.2009.12.011 ER -
@article{ author = "Cvijović, Đurđe", year = "2010", abstract = "In a recent paper Dattoli and Srivastava [3], 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.", journal = "Applied Mathematics and Computation", title = "The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers", volume = "215", number = "11", pages = "4040-4043", doi = "10.1016/j.amc.2009.12.011" }
Cvijović, Đ.. (2010). The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers. in Applied Mathematics and Computation, 215(11), 4040-4043. https://doi.org/10.1016/j.amc.2009.12.011
Cvijović Đ. The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers. in Applied Mathematics and Computation. 2010;215(11):4040-4043. doi:10.1016/j.amc.2009.12.011 .
Cvijović, Đurđe, "The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers" in Applied Mathematics and Computation, 215, no. 11 (2010):4040-4043, https://doi.org/10.1016/j.amc.2009.12.011 . .
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