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About
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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Vol. 1, 2013
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TJANT
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Current Issue
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Content: Volume 1, Issue 1
Open Access
Special Issue
The Legendre Polynomials Associated with Bernoulli, Euler, Hermite and Bernstein Polynomials
by
Serkan Araci
,
Mehmet Acikgoz
,
Armen Bagdasaryan
and
ERDOĞAN ŞEN
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 1-3. DOI: 10.12691/tjant-1-1-1
Pub. Date: November 26, 2013
Views: 30478
Downloads: 20054
Like:
79
Legendre polynomials
Bernoulli polynomials
Euler polynomials
Hermite polynomials
Bernstein polynomials
orthogonality
Abstract
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(426 KB)
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(171 KB)
Open Access
Research Article
q-Hardy-Littlewood-Type Maximal Operator with Weight Related to Fermionic p-Adic q-Integral on Z
p
by
Erdoğan Şen
,
Mehmet Acikgoz
and
Serkan Araci
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 4-8. DOI: 10.12691/tjant-1-1-2
Pub. Date: September 23, 2013
Views: 18094
Downloads: 13823
Like:
40
fermionic p-adic q-integral on Z
p
hardy-littlewood theorem
p-adic analysis
q-analysis
Abstract
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(367 KB)
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(276 KB)
This article belongs to the Special Issue
Recent developments in the areas of mathematics
Open Access
Research Article
q-Analogue of p-Adic logΓ Type Functions Associated with Modified q-Extension of Genocchi Numbers with Weight α and β
by
Erdoğan Şen
,
Mehmet Acikgoz
and
Serkan Araci
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 9-12. DOI: 10.12691/tjant-1-1-3
Pub. Date: September 23, 2013
Views: 18322
Downloads: 13943
Like:
38
modified -Genocchi numbers with weight alpha and beta
modified -Euler numbers with weight alpha and beta
-adic log gamma functions
Abstract
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(327 KB)
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(173 KB)
This article belongs to the Special Issue
Recent developments in the areas of mathematics
Open Access
Research Article
On Some Well Known Fixed Point Theorems in
b
-Metric Spaces
by
Mehmet Kir
and
Hükmi Kiziltunc
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 13-16. DOI: 10.12691/tjant-1-1-4
Pub. Date: September 23, 2013
Views: 21929
Downloads: 16081
Like:
45
Citations: 77
fixed point
b-metric spaces
contraction mappings
Abstract
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(296 KB)
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(186 KB)
This article belongs to the Special Issue
Recent developments in the areas of mathematics
Open Access
Research Article
A Note on the p-Adic Interpolation Function for Multiple Generalized Genocchi Numbers
by
Serkan Araci
,
Mehmet Acikgoz
and
Erdoğan Şen
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 17-22. DOI: 10.12691/tjant-1-1-5
Pub. Date: September 23, 2013
Views: 18210
Downloads: 14016
Like:
34
Citations: 1
multiple generalized Genocchi numbers and poly-nomials
Euler-Gamma function
p-adic interpolation function
multiple gen-eralized zeta function
Abstract
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(364 KB)
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(235 KB)
This article belongs to the Special Issue
Recent developments in the areas of mathematics
Open Access
Research Article
The Helix Relation between Two Curves
by
İLKAY ARSLAN GÜVEN
and
YUSUF YAYLI
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 23-25. DOI: 10.12691/tjant-1-1-6
Pub. Date: September 23, 2013
Views: 19506
Downloads: 13777
Like:
41
general helix
Frenet frame
Bertrand mates
Abstract
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(280 KB)
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(144 KB)
This article belongs to the Special Issue
Recent developments in the areas of mathematics
Open Access
Special Issue
New Results Involving a Class of Generalized Hurwitz-Lerch Zeta Functions and Their Applications
by
H. M. Srivastava
,
Min-Jie Luo
and
R. K. Raina
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 26-35. DOI: 10.12691/tjant-1-1-7
Pub. Date: November 01, 2013
Views: 19788
Downloads: 15087
Like:
35
Citations: 23
Hurwitz-Lerch zeta function
arithmetic density of number theory
partial differential equations
series and Mellin-Barnes type contour integral representations
Fox’s H-function
summation formulas
generalized Hurwitz meausure
probability density function
moment generating function
Abstract
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(475 KB)
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(485 KB)
Open Access
Special Issue
q
-
Bernstein-Type Polynomials for Functions of Two Variables with Their Generating and Interpolation Functions
by
Mehmet ACIKGOZ
,
Erdoğan ŞEN
and
Serkan ARACI
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 36-42. DOI: 10.12691/tjant-1-1-8
Pub. Date: November 04, 2013
Views: 18767
Downloads: 14645
Like:
36
generating function
Bernstein polynomial of two variables
Bernstein operator of two variables
shift difference operator
q-difference operator
second kind Stirling numbers
generalized Bernoulli polynomials
Mellin transformation
interpolation function
Abstract
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(423 KB)
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(373 KB)
Open Access
Article
Generalized Fibonacci Polynomials
by
Yashwant K. Panwar
,
B. Singh
and
V.K. Gupta
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 43-47. DOI: 10.12691/tjant-1-1-9
Pub. Date: November 16, 2013
Views: 20755
Downloads: 14711
Like:
40
Citations: 4
generalized Fibonacci polynomials
Binet’s formula
generating function
Abstract
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(328 KB)
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(277 KB)
Open Access
Special Issue
On Interval Valued Generalized Difference Classes Defined by Orlicz Function
by
Ayhan Esi
and
Bipan Hazarika
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 48-53. DOI: 10.12691/tjant-1-1-10
Pub. Date: November 21, 2013
Views: 17867
Downloads: 13380
Like:
35
Citations: 4
Keywords:
sequence space
interval numbers
difference sequence
completeness
Abstract
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(412 KB)
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(377 KB)
Open Access
Research Article
Some Relationships between the Generalized Apostol-Bernoulli and Apostol-Euler Polynomials
by
Burak Kurt
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 54-58. DOI: 10.12691/tjant-1-1-11
Pub. Date: December 03, 2013
Views: 17884
Downloads: 14275
Like:
43
Citations: 7
Bernoulli polynomials and numbers
Apostol-Bernoulli polynomials
Apostol-Euler polynomials
Generalized Apostol-Bernoulli polynomials
Abstract
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(290 KB)
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(253 KB)
This article belongs to the Special Issue
Recent developments in the areas of mathematics
Open Access
Article
The Hyper-Geometric Daehee Numbers and Polynomials
by
Jin-Woo Park
,
Seog-Hoon Rim
and
Jongkyum Kwon
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 59-62. DOI: 10.12691/tjant-1-1-12
Pub. Date: December 04, 2013
Views: 16770
Downloads: 12533
Like:
38
Citations: 7
Keywords:
Daehee numbers
Hyper-geometric Daehee numbers and polynomials
Abstract
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(283 KB)
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(173 KB)
Open Access
Article
Using Differentiation Term by Term Theorem to Study the Partial Differential Problems
by
Chii-Huei Yu
Turkish Journal of Analysis and Number Theory
.
2013
, 1(1), 63-68. DOI: 10.12691/tjant-1-1-13
Pub. Date: December 30, 2013
Views: 19057
Downloads: 14561
Like:
43
Citations: 2
partial derivatives
infinite series forms
differentiation term by term theorem
Maple
Abstract
Full Text PDF
(427 KB)
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(239 KB)
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