Concepedia

Abel Summation

Abel Summation is a method of assigning values to infinite series by taking the limit of the power series representation of the series coefficients as the variable approaches the boundary of convergence radially, distinguishing it from other summation methods through its use of analytic continuation via power series limits.

75

Publications

2.1K

Citations

93

Authors

61

Institutions

Publications per year

2017–2026

6

Variants

Abel SummabilityAbel's Summation Method

Parents

Publications

75

Variations on a theorem of Abel

Phillip Griffiths · Inventiones mathematicae · 1976 · 174 citations

, , +2

The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect

A. A. Saharian · ArXiv.org · 2007 · 132 citations · Full text

, , +13

Identities involving the coefficients of a class of Dirichlet series. IV

Bruce C. Berndt · Transactions of the American Mathematical Society · 1970 · 70 citations · Full text

, , +8

Induced fermionic current in toroidally compactified spacetimes with applications to cylindrical and toroidal nanotubes

Stefano Bellucci, A. A. Saharian, V. M. Bardeghyan · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2010 · 65 citations · Full text

, , +16

Fermionic Casimir densities in toroidally compactified spacetimes with applications to nanotubes

Stefano Bellucci, A. A. Saharian · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2009 · 65 citations · Full text

, , +13

1–5 of 75

Authors

93

  1. WC
    Wenchang Chu

    University of Salento, Italy

    6 publications · 168 citations

    6

    h-index

  2. AA
    A. A. Saharian

    Yerevan State University, Armenia

    6 publications · 350 citations

    6

    h-index

  3. JV
    Jasson Vindas

    Ghent University, Belgium

    3 publications · 38 citations

    3

    h-index

  4. RE
    Ricardo Estrada

    Universidad de Costa Rica, Costa Rica

    3 publications · 38 citations

    3

    h-index

  5. DM
    Dean M. Young

    Baylor University, United States

    2 publications · 42 citations

    2

    h-index

1–5 of 93

Institutions

61

  1. Yerevan State University

    Yerevan, Armenia

    8 h-index

    9 publications

    460 citations

  2. Dalian University of Technology

    Dalian, China

    5 h-index

    6 publications

    175 citations

  3. Universidade Federal da Paraíba

    João Pessoa, Brazil

    5 h-index

    12 publications

    380 citations

  4. Louisiana State University

    Baton Rouge, United States

    3 h-index

    5 publications

    64 citations

  5. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati

    Frascati, Italy

    2 h-index

    2 publications

    130 citations

  6. University of Salento

    Lecce, Italy

    2 h-index

    2 publications

    71 citations

  7. Ghent University

    Ghent, Belgium

    2 h-index

    4 publications

    44 citations

  8. University of Glasgow

    Glasgow, United Kingdom

    2 h-index

    2 publications

    92 citations

1–8 of 61

Venues

  1. Pacific Journal of Mathematics

    5 publications · 134 citations

    5

    h-index

  2. 4

    h-index

  3. 3

    h-index

  4. Mathematics of Computation

    MCOM · 3 publications · 84 citations

    3

    h-index

  5. 2

    h-index

1–5