Concepedia

Gegenbauer Polynomials

Gegenbauer Polynomials is a class of orthogonal polynomials on the interval $[-1, 1]$ with respect to the weight function $(1 - x^2)^{\lambda - 1/2}$ for $\lambda > -1/2$, distinguished from other orthogonal polynomials by their role as eigenfunctions of a singular Sturm–Liouville problem and their generality in encompassing Legendre and Chebyshev polynomials as special cases.

308

Publications

11.4K

Citations

506

Authors

363

Institutions

Publications per year

2017–2026

84

Variants

Ultraspherical Polynomials

Parents

Publications

308

Integral Kernels with Reflection Group Invariance

Charles F. Dunkl · Canadian Journal of Mathematics · 1991 · 490 citations · Full text

, , +15

New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x-space technique

K.G. Chetyrkin, A. L. Kataev, F.V. Tkachov · Nuclear Physics B · 1980 · 472 citations

, , +5

ON GENERALIZED FRACTIONAL PROCESSES

H. L. Gray, Nien‐Fan Zhang, Wayne A. Woodward · Journal of Time Series Analysis · 1989 · 365 citations

, , +14

Strictly and non-strictly positive definite functions on spheres

Tilmann Gneiting · Bernoulli · 2013 · 296 citations · Full text

, , +14

Position and momentum information entropies of the<i>D</i>-dimensional harmonic oscillator and hydrogen atom

R. J. Yáñez, Walter Van Assche, J. S. Dehesa · Physical Review A · 1994 · 288 citations

, , +17

1–5 of 308

Authors

506

  1. AA
    Ala Amourah

    Irbid National University, Jordan

    10 publications · 270 citations

    10

    h-index

  2. JS
    J. S. Dehesa

    Universidad de Granada, Spain

    7 publications · 473 citations

    7

    h-index

  3. AA
    Abdullah Alsoboh

    Irbid National University, Jordan

    5 publications · 111 citations

    5

    h-index

  4. RJ
    R. J. Yáñez

    Universidad de Granada, Spain

    4 publications · 393 citations

    4

    h-index

  5. AP
    A. P. Bakulev

    Ruhr University Bochum, Germany

    4 publications · 329 citations

    4

    h-index

1–5 of 506

Institutions

363

  1. Irbid National University

    Irbid, Jordan

    10 h-index

    11 publications

    292 citations

  2. Universidad de Granada

    Granada, Spain

    10 h-index

    22 publications

    1.4K citations

  3. Umm al-Qura University

    Makkah al Mukarramah, Saudi Arabia

    7 h-index

    8 publications

    201 citations

  4. Assiut University

    Asyut, Egypt

    6 h-index

    7 publications

    289 citations

  5. Joint Institute for Nuclear Research

    Dubna, Russia

    4 h-index

    5 publications

    290 citations

  6. Nanyang Technological University

    Singapore, Singapore

    4 h-index

    7 publications

    273 citations

  7. University of Almería

    Almería, Spain

    4 h-index

    7 publications

    238 citations

  8. University of Victoria

    Victoria, Canada

    4 h-index

    4 publications

    166 citations

1–8 of 363

Venues

  1. Journal of Mathematical Physics

    19 publications · 570 citations

    16

    h-index

  2. SIAM Journal on Mathematical Analysis

    11 publications · 384 citations

    11

    h-index

  3. Journal of Computational and Applied Mathematics

    12 publications · 306 citations

    11

    h-index

  4. Journal of Physics A Mathematical and General

    8 publications · 202 citations

    8

    h-index

  5. Journal of High Energy Physics

    JHEP · 8 publications · 366 citations

    8

    h-index

1–5