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Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: https://www.sciepub.com/journal/tjant
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Content: Volume 6, Issue 3

Open AccessResearch Article
Oppenheim's Problem and Some Inequalities Involving Bessel Functions and Dunkl Kernels
by Frej Chouchene
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 61-71. DOI: 10.12691/tjant-6-3-1
Pub. Date: June 30, 2018Views: 8912Downloads: 8485
Oppenheim's problem Bessel functions modified Bessel functions Dunkl kernels
Abstract Full Text PDF (414 KB) Full Text HTML Full Text ePUB (587 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
Open AccessResearch Article
Turán Type Inequalities for Jacobi-Dunkl Polynomials
by Frej Chouchene
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 72-83. DOI: 10.12691/tjant-6-3-2
Pub. Date: June 30, 2018Views: 8829Downloads: 8477
Jacobi polynomials Jacobi-Dunkl polynomials Turán type inequalities
Abstract Full Text PDF (439 KB) Full Text HTML Full Text ePUB (673 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
Open AccessResearch Article
On Multiple Zeta Function and Associated Properties
by Maged G. Bin-Saad, M. A. Pathan and Ali Z. Bin-Alhag
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 84-89. DOI: 10.12691/tjant-6-3-3
Pub. Date: June 30, 2018Views: 8975Downloads: 8866
multi-variable zeta functions Hurwitz-Lerch Zeta function Hyper-geometric function Lauricella functions Summation formula expansion formulas
Abstract Full Text PDF (408 KB) Full Text HTML Full Text ePUB (318 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
Open AccessResearch Article
Ward’s Generalized Special Functions
by Anthony G. Shannon and Ömür Deveci
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 90-92. DOI: 10.12691/tjant-6-3-4
Pub. Date: June 30, 2018Views: 9125Downloads: 8758
Special function Bernoulli polynomial Euler function difference operator normal sequence divisibility sequence difference operator generalized integer Fermatian numbers Euler-Maclaurin sum-formula commutative diagram category
Abstract Full Text PDF (230 KB) Full Text HTML Full Text ePUB (121 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
Open AccessResearch Article
On Some Identities and Generating Functions for Mersenne Numbers and Polynomials
by Ali Boussayoud, Mourad Chelgham and Souhila Boughaba
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 93-97. DOI: 10.12691/tjant-6-3-5
Pub. Date: June 30, 2018Views: 9902Downloads: 9664
Mersenne numbers Generating functions Symmetric functions
Abstract Full Text PDF (322 KB) Full Text HTML Full Text ePUB (243 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
Open AccessResearch Article
Symmetric Functions for k-Fibonacci Numbers and Orthogonal Polynomials
by Khadidja Boubellouta, Ali Boussayoud and Mohamed Kerada
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 98-102. DOI: 10.12691/tjant-6-3-6
Pub. Date: June 30, 2018Views: 9806Downloads: 9760
k-Fibonacci numbers k-Pell numbers k-Jacobsthal numbers generating functions symmetric functions
Abstract Full Text PDF (287 KB) Full Text HTML Full Text ePUB (244 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
Open AccessResearch Article
Some Reduction Formulae Associated with Gauss and Fox-Wright Hypergeometric Functions
by M.I. Qureshi, Saima Jabee and Sulakshana Bajaj
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 103-106. DOI: 10.12691/tjant-6-3-7
Pub. Date: June 30, 2018Views: 10035Downloads: 9476
Generalized hypergeometric function Fox-Wright generalized hypergeometric function Pfaff-Kummer’s linear transformation
Abstract Full Text PDF (358 KB) Full Text HTML Full Text ePUB (226 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
Open AccessResearch Article
The Log-concavity Property Associated to Hyperjacobsthal and Hyperjacobsthal-Lucas Sequences
by Moussa Ahmia and Hacène Belbachir
Turkish Journal of Analysis and Number Theory. 2018, 6(3), 107-110. DOI: 10.12691/tjant-6-3-8
Pub. Date: June 30, 2018Views: 9856Downloads: 9677
Hyperjacobsthal numbers hyperjacobsthal-Lucas numbers log-concavity -log-concavity
Abstract Full Text PDF (363 KB) Full Text HTML Full Text ePUB (199 KB)
This article belongs to the Special Issue Special Functions and Orthogonal Polynomials with their Applications
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