Concepedia

Multidimensional Generating Functions

Multidimensional Generating Function is a formal power series in multiple variables that encodes a sequence of coefficients indexed by tuples of non-negative integers, generalizing univariate generating functions to higher dimensions by associating each monomial with a multidimensional index.

58

Publications

1.8K

Citations

92

Authors

67

Institutions

Publications per year

2017–2026

5

Parents

Publications

58

Multidimensional analogues of Bohr’s theorem on power series

Lev Aizenberg · Proceedings of the American Mathematical Society · 1999 · 204 citations · Full text

, , +10

MVF - Multivariate Test Functions Library in C for Unconstrained Global Optimization

Ernesto Padernal Adorio, Revised January · 2005 · 110 citations

, , +8

Multidimensional Baker–Akhiezer Functions and Huygens' Principle

Oleg Chalykh, Misha Feigin · Communications in Mathematical Physics · 1999 · 88 citations · Full text

, , +6

MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS

Gabriella Bretti, Paolo Emilio Ricci · Taiwanese Journal of Mathematics · 2004 · 76 citations · Full text

, , +4

Generating Functions for Coalitional Power Indices: An Application to the IMF

J. M. Alonso-Meijide, Carlos Bowles · Annals of Operations Research · 2005 · 70 citations

, , +8

1–5 of 58

Authors

92

  1. PE
    Paolo Emilio Ricci

    Sapienza University of Rome, Italy

    4 publications · 172 citations

    4

    h-index

  2. SK
    Subuhi Khan

    Aligarh Muslim University, India

    3 publications · 57 citations

    3

    h-index

  3. MF
    Misha Feigin

    University of Glasgow, United Kingdom

    2 publications · 102 citations

    2

    h-index

  4. PN
    Pierpaolo Natalini

    Roma Tre University, Italy

    2 publications · 70 citations

    2

    h-index

  5. RL
    Rudolf Lidl

    University of Tasmania, Australia

    2 publications · 26 citations

    2

    h-index

1–5 of 92

Institutions

67

  1. Aligarh Muslim University

    Aligarh, India

    3 h-index

    6 publications

    106 citations

  2. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    5 publications

    247 citations

  3. University of Naples Federico II

    Naples, Italy

    3 h-index

    4 publications

    133 citations

  4. Sapienza University of Rome

    Rome, Italy

    3 h-index

    4 publications

    135 citations

  5. P.N. Lebedev Physical Institute of the Russian Academy of Sciences

    Moscow, Russia

    2 h-index

    4 publications

    162 citations

  6. Roma Tre University

    Rome, Italy

    2 h-index

    2 publications

    70 citations

  7. Clarkson University

    Potsdam, United States

    2 h-index

    4 publications

    74 citations

  8. Ankara University

    Ankara, Türkiye

    2 h-index

    3 publications

    41 citations

1–8 of 67

Venues

  1. Journal of Physics A Mathematical and General

    2 publications · 41 citations

    2

    h-index

  2. Communications in Mathematical Physics

    2 publications · 102 citations

    2

    h-index

  3. 2

    h-index

  4. 2

    h-index

  5. Integral Transforms and Special Functions

    2 publications · 69 citations

    2

    h-index

1–5