ON CERTAIN SUMS INVOLVING THE LEGENDRE SYMBOL (original) (raw)

On Certain Sums with Quadratic Expressions Involving the Legendre Symbol

Anshumaan Parashar

2018

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Summation Formulae for the Legendre Polynomials

Subuhi Khan

Acta Mathematica Universitatis Comenianae

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A triangular property of the associated Legendre functions

Silvano Fineschi

Journal of Mathematical Physics, 1990

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REFERENCE EQUATIONS 3 (Legendre Functions, Identities and Integrals

Rami Mehrem

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Some Identities Involving the Legendre's Chi-Function

Junesang Choi

Communications of the Korean Mathematical Society, 2007

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Generating functions of Legendre polynomials: A tribute to Fred Brafman

Wadim Zudilin

Journal of Approximation Theory, 2012

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Legendre polynomials and ramanujan-type series for 1/π| NOVA. The University of Newcastle's Digital Repository

Wadim Zudilin

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A Combinatorial Formula for the Associated Legendre Functions of Integer Degree

Jan Felipe van Diejen

Advances in Mathematics, 2000

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Finite transformation formulae involving the Legendre symbol

Kenneth Williams

Pacific Journal of Mathematics, 1970

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A novel theory of Legendre polynomials

B. Germano

Mathematical and Computer Modelling, 2011

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A Property of Legendre Polynomials

F. Alberto GRUNBAUM

Proceedings of the National Academy of Sciences, 1970

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Legendre polynomials and Ramanujan-type series for 1/π

Wadim Zudilin

Israel Journal of Mathematics, 2013

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On a New Class of Series Identities

Junesang Choi

Honam Mathematical Journal, 2015

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On quadratic Gauss sums and variations thereof

lawrence glasser

Cogent Mathematics, 2015

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A Listing of Associated Legendre Functions Of The First Kind Up To L=10

Rami Mehrem

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A Note on Legendre-Based Multi Poly-Eule Polynomials

Junesang Choi

Bulletin of the Iranian Mathematical Society, 2018

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On some strange summation formulas

Mourad Ismail

Illinois Journal of Mathematics

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Certain Summation Formulas for Humbert's Double Hypergeometric Series Ψ2AND Φ2

Junesang Choi

Communications of the Korean Mathematical Society, 2015

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A simple proof of Legendre's conjecture

Samuel Bonaya Buya

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Certain generating funtion of generalized Apostol type Legendre-based polynomials

Nabiullah Khan

2018

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Some infinite sums identities

Sneh Sinha

Czechoslovak Mathematical Journal, 2015

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On some modular identities

Giuseppe Melfi

… , computational, and algebraic aspects: proceedings of …, 1998

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Certain Integral and Series Representations of Legendre Functions Derivable from the Representation of the Group SO(2, 1)

Junesang Choi

Far East Journal of Mathematical Sciences (FJMS), 2017

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Some Classes of Finite Sums Related to the Generalized Harmonic Functions and Special Numbers and Polynomials

Yilmaz Simsek

2022

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NEW PROPERTIES OF MULTIPLE HARMONIC SUMS MODULO p AND p-ANALOGUES OF LESHCHINER’S SERIES

Khodabakhsh Pilehrood, Tatiana Hessami Pilehrood

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Asymptotics on a Class of Legendre Formulas

Brian Diaz

The American Mathematical Monthly

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The Euler Series Transformation and the Binomial Identities of Ljunggren, Munarini and Simons

Khristo Boyadzhiev

Integers, 2000

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Identities on quadratic Gauss sums

Paul Gérardin

Transactions of the American Mathematical Society, 1990

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Derivatives of addition theorems for Legendre functions

Denis Winch

The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1995

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A note on partially degenerate Legendre–Genocchi polynomials

Nabiullah Khan

Notes on Number Theory and Discrete Mathematics, 2019

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The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials

Serkan Araci

Turkish Journal of Analysis and Number Theory, 2013, Vol. 1, No. 1, 1-3

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A Short Proof of a Concrete Sum

Samuel Moreno

arXiv: Number Theory, 2016

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Some new reciprocity formulas for generalized Dedekind sums

Ulrich Halbritter

Results in Mathematics, 1985

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A Gaussian hypergeometric series evaluation and Apéry number congruences

Ken Ono

Journal für die reine und angewandte Mathematik (Crelles Journal), 2000

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Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials

Seog-Hoon Rim

Abstract and Applied Analysis, 2009

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