Concepedia

Trigonometric Series

A Trigonometric Series is an infinite series of the form $ a_0 + \sum_{n=1}^{\infty} (a_n \cos n\theta + b_n \sin n\theta) $, where the coefficients $ a_n $ and $ b_n $ are real or complex constants, constituting a function series whose terms are trigonometric functions of an angular variable, distinguished from other series by its basis in sine and cosine functions.

1.1K

Publications

42.5K

Citations

1.6K

Authors

799

Institutions

Publications per year

2017–2026

152

Parents

Publications

1.1K

Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method

F. Durbin · The Computer Journal · 1974 · 1.1K citations

, , +12

Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable.

Syed Muslim Shah, Lars V. Ahlfors · American Mathematical Monthly · 1968 · 721 citations

, , +13

<i>Mathematical Methods in the Physical Sciences</i>

Mary L. Boas, Jacques E. Romain · Physics Today · 1967 · 627 citations

, , +14

The Interpretation of Shear-Wave Splitting Parameters In the Presence of Two Anisotropic Layers

Paul G. Silver, M. K. Savage · Geophysical Journal International · 1994 · 573 citations

, , +13

An Algorithm for the Evaluation of Finite Trigonometric Series

G. Goertzel · American Mathematical Monthly · 1958 · 498 citations

, , +8

1–5 of 1.1K

Authors

1.6K

  1. MA
    M. Ali Akbar

    University of Rajshahi, Bangladesh

    9 publications · 375 citations

    9

    h-index

  2. ST
    Sergey Tikhonov

    Centre de Recerca Matemàtica, Spain

    9 publications · 388 citations

    9

    h-index

  3. DF
    Dmitriy F. Kuznetsov

    Peter the Great St. Petersburg Polytechnic University, Russia

    8 publications · 178 citations

    8

    h-index

  4. FM
    Ferenc Móricz

    University of Szeged, Hungary

    8 publications · 135 citations

    8

    h-index

  5. DS
    Dongyan Shi

    Harbin Engineering University, China

    7 publications · 246 citations

    7

    h-index

1–5 of 1.6K

Institutions

799

  1. Lomonosov Moscow State University

    Moscow, Russia

    13 h-index

    17 publications

    365 citations

  2. Harbin Engineering University

    Harbin, China

    11 h-index

    35 publications

    1K citations

  3. Mansoura University

    Al Mansurah, Egypt

    9 h-index

    13 publications

    638 citations

  4. Chinese Academy of Sciences

    Beijing, China

    8 h-index

    21 publications

    1.5K citations

  5. Steklov Mathematical Institute

    Moscow, Russia

    8 h-index

    8 publications

    165 citations

  6. Pabna University of Science and Technology

    Pābna, Bangladesh

    8 h-index

    10 publications

    457 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    9 publications

    189 citations

  8. Universitat Autònoma de Barcelona

    Cerdanyola del Vallès, Spain

    8 h-index

    13 publications

    372 citations

1–8 of 799

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 25 publications · 820 citations

    17

    h-index

  2. 17

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  3. Pacific Journal of Mathematics

    17 publications · 515 citations

    15

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 22 publications · 542 citations

    14

    h-index

  5. Mathematical Notes

    20 publications · 536 citations

    13

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