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1

On lifting q -difference operators in the Askey scheme of basic hypergeometric polynomials

Atakishiyeva, Mesuma, Atakishiyev, Natig

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2010

Language:

english

File:

PDF, 243 KB

english, 2010

2

On q -extended eigenvectors of the integral and finite Fourier transforms

Atakishiyev, N M, Rueda, J P, Wolf, K B

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2007

Language:

english

File:

PDF, 130 KB

english, 2007

3

On the raising and lowering difference operators for eigenvectors of the finite Fourier transform

Atakishiyeva, M K, Atakishiyev, N M

Journal:

Journal of Physics Conference Series

Year:

2015

Language:

english

File:

PDF, 883 KB

english, 2015

4

[Society of Petroleum Engineers SPE Annual Caspian Technical Conference and Exhibition - Baku, Azerbaijan (2017-11-01)] SPE Annual Caspian Technical Conference and Exhibition - The Role of Internal Diameter Tolerances in Interpreting Casing Inspection Logs

Atakishiyev, Fuad, Alkhasov, Emin, Schoepf, Virginie, Zett, Adrian

Language:

english

File:

PDF, 2.32 MB

english

5

Elliptic basis for the Zernike system: Heun function solutions

Atakishiyev, Natig M., Pogosyan, George S., Wolf, Kurt Bernardo, Yakhno, Alexander

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 1.05 MB

english, 2018

6

On discrete q-ultraspherical polynomials and their duals

N.M. Atakishiyev, A.U. Klimyk

Journal:

Journal of Mathematical Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 111 KB

english, 2005

7

On the square integrability of the q-Hermite functions

M.K. Atakishiyeva, N.M. Atakishiyev, C. Villegas-Blas

Journal:

Journal of Computational and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 345 KB

english, 1998

8

On the Askey-Wilson polynomials

N. M. Atakishiyev, S. K. Suslov

Journal:

Constructive Approximation

Year:

1992

Language:

english

File:

PDF, 261 KB

english, 1992

9

Wigner distribution functions for a relativistic linear oscillator

N. M. Atakishiyev, Sh. M. Nagiyev, K. B. Wolf

Journal:

Theoretical and Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 653 KB

english, 1998

10

The Wigner Function for General Lie Groups and the Wavelet Transform

S.T. Ali, N.M. Atakishiyev, S.M. Chumakov, K.B. Wolf

Journal:

Annales Henri Poincaré

Year:

2000

Language:

english

File:

PDF, 269 KB

english, 2000

11

Liftingq-difference operators for Askey-Wilson polynomials and their weight function

M. K. Atakishiyeva, N. M. Atakishiyev

Journal:

Physics of Atomic Nuclei

Year:

2011

Language:

english

File:

PDF, 536 KB

english, 2011

12

Fractional Fourier–Kravchuk transform

Atakishiyev, Natig M., Wolf, Kurt Bernardo

Journal:

Journal of the Optical Society of America A

Year:

1997

Language:

english

File:

PDF, 387 KB

english, 1997

13

Finite two-dimensional oscillator: I. The Cartesian model

Atakishiyev, Natig M, Pogosyan, George S, Vicent, Luis Edgar, Wolf, Kurt Bernardo

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 333 KB

english, 2001

14

Bases for representations of quantum algebras

Atakishiyev, N M, Winternitz, P

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2000

Language:

english

File:

PDF, 122 KB

english, 2000

15

Wigner distribution function for finite systems

Atakishiyev, Natig M., Chumakov, Sergey M., Wolf, Kurt Bernardo

Journal:

Journal of Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 581 KB

english, 1998

16

On the Fourier - Gauss transforms of some q -exponential and q -trigonometric functions

Atakishiyev, N M

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1996

Language:

english

File:

PDF, 83 KB

english, 1996

17

ON q-EXTENSIONS OF MEHTA'S EIGENVECTORS OF THE FINITE FOURIER TRANSFORM

ATAKISHIYEV, NATIG M.

Journal:

International Journal of Modern Physics A

Year:

2006

Language:

english

File:

PDF, 225 KB

english, 2006

18

Ramanujan-type continuous measures for biorthogonal q -rational functions

Atakishiyev, Natig M

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1996

Language:

english

File:

PDF, 134 KB

english, 1996

19

Finite two-dimensional oscillator: II. The radial model

Atakishiyev, Natig M, Pogosyan, George S, Vicent, Luis Edgar, Wolf, Kurt Bernardo

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 194 KB

english, 2001

20

On a one-parameter family of q -exponential functions

Atakishiyev, N M

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1996

Language:

english

File:

PDF, 86 KB

english, 1996

21

SU(2) and SU(1,1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and Discrete Fourier Transforms

Atakishiyev, Natig M., Kibler, Maurice R., Wolf, Kurt Bernardo

Journal:

Year:

2010

Language:

english

File:

PDF, 190 KB

english, 2010

22

On the Mellin transforms of hypergeometric polynomials

Atakishiyeva, M K, Atakishiyev, N M

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1999

Language:

english

File:

PDF, 128 KB

english, 1999

23

The factorization of a q-difference equation for continuous q-Hermite polynomials

M. N. Atakishiyev, A. U. Klimyk

Year:

2007

Language:

english

File:

PDF, 121 KB

english, 2007

24

q -Laguerre and Wall polynomials are related by the Fourier - Gauss transform

Atakishiyeva, M K, Atakishiyev, N M

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1997

Language:

english

File:

PDF, 76 KB

english, 1997

25

A Relativistic Model of the Isotropic Oscillator

Dr. N. M. Atakishiyev, R. M. Mir-Kasimov, Sh. M. Nagiyev

Journal:

Annalen der Physik

Year:

1985

Language:

english

File:

PDF, 323 KB

english, 1985

26

Rodrigues' Formula for the Radial Wave Function in a Relativistic Model of the Oscillator

Dr. N. M. Atakishiyev

Journal:

Annalen der Physik

Year:

1985

Language:

english

File:

PDF, 185 KB

english, 1985

27

On the phase space description of quantum nonlinear dynamics

N.M Atakishiyev, S.M Chumakov, A.L Rivera, K.B Wolf

Journal:

Physics Letters A

Year:

1996

Language:

english

File:

PDF, 585 KB

english, 1996

28

On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials

N.M. Atakishiyev, A.U. Klimyk

Journal:

Journal of Mathematical Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 219 KB

english, 2004

29

Al-Salam–Chihara models of quantum oscillator

N.M. Atakishiyev, A.U. Klimyk

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 169 KB

english, 2008

30

Mellin transforms for some families of q-polynomials

Renato Álvarez-Nodarse, M.K. Atakishiyeva, N.M. Atakishiyev

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 140 KB

english, 2003

31

Continuous vs. discrete fractional Fourier transforms

Natig M. Atakishiyev, Luis Edgar Vicent, Kurt Bernardo Wolf

Journal:

Journal of Computational and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 457 KB

english, 1999

32

On classical orthogonal polynomials

N. M. Atakishiyev, M. Rahman, S. K. Suslov

Journal:

Constructive Approximation

Year:

1995

Language:

english

File:

PDF, 1.90 MB

english, 1995

33

On aq-extension of the linear harmonic oscillator with the continuous orthogonality property on ℝ

R. Alvarez-Nodarse, M. K. Atakishiyeva, N. M. Atakishiyev

Journal:

Czechoslovak Journal of Physics

Year:

2005

Language:

english

File:

PDF, 150 KB

english, 2005

34

On dynamical symmetry algebra for aq-extension of the harmonic oscillator

M. K. Atakishiyeva, N. M. Atakishiyev

Journal:

Czechoslovak Journal of Physics

Year:

2006

Language:

english

File:

PDF, 277 KB

english, 2006

35

Jacobi Matrix Pair and Dual Alternativeq-Charlier Polynomials

N. M. Atakishiyev, A. U. Klimyk

Journal:

Ukrainian Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 260 KB

english, 2005

36

Fourier-Gauss transforms of bilinear generating functions for the continuousq-Hermite polynomials

M. K. Atakishiyeva, N. M. Atakishiyev

Journal:

Physics of Atomic Nuclei

Year:

2001

Language:

english

File:

PDF, 176 KB

english, 2001

37

On integral and finite Fourier transforms of continuousq-Hermite polynomials

M. K. Atakishiyeva, N. M. Atakishiyev

Journal:

Physics of Atomic Nuclei

Year:

2009

Language:

english

File:

PDF, 594 KB

english, 2009

38

A q-Analogue of the Euler Gamma Integral

N. M. Atakishiyev, M. K. Atakishiyeva

Journal:

Theoretical and Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 148 KB

english, 2001

39

On the Askey-Wilsonq-beta integral

N. M. Atakishiyev

Journal:

Theoretical and Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 233 KB

english, 1994

40

Ramanujan-type continuous measures for classicalq-polynomials

N. M. Atakishiyev

Journal:

Theoretical and Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 566 KB

english, 1995

41

Difference equation for associated polynomials on a linear lattice

N. M. Atakishiyev, A. Ronveaux, K. B. Wolf

Journal:

Theoretical and Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 443 KB

english, 1996

42

Covariant discretization of axis-symmetric linear optical systems

Atakishiyev, Natig M., Nagiyev, Shakir M., Vicent, Luis Edgar, Wolf, Kurt Bernardo

Journal:

Journal of the Optical Society of America A

Year:

2000

Language:

english

File:

PDF, 292 KB

english, 2000

43

Generalized coherent states for a relativistic model of the linear oscillator in a homogeneous external field

Atakishiyev, Natig M., Wolf, Kurt Bernardo

Journal:

Reports on Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 423 KB

english, 1989

44

DISCRETE COORDINATE REALIZATIONS OF THE q-OSCILLATOR WHEN q>1

ATAKISHIYEV, N. M., KLIMYK, A. U.

Journal:

Modern Physics Letters A

Year:

2006

Language:

english

File:

PDF, 198 KB

english, 2006

45

On su[sub q](1,1)-models of quantum oscillator

Atakishiyev, M. N., Atakishiyev, N. M., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 501 KB

english, 2006

46

[AIP The XXX Latin American school of physics ELAF: Group theory and its applications - Mexico City (Mexico) (17 Jul − Aug 4 1995)] AIP Conference Proceedings - Difference equations and some of their solutions

Atakishiyev, Natig M.

Year:

1996

Language:

english

File:

PDF, 1.65 MB

english, 1996

47

Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra

Álvarez-Nodarse, R, Atakishiyev, N M, Costas-Santos, R S

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2005

Language:

english

File:

PDF, 237 KB

english, 2005

48

Finite q -oscillator

Atakishiyev, Natig M, Klimyk, Anatoliy U, Wolf, Kurt Bernardo

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 302 KB

english, 2004

49

CONTRACTION OF THE FINITE ONE-DIMENSIONAL OSCILLATOR

ATAKISHIYEV, NATIG M., POGOSYAN, GEORGE S., WOLF, KURT BERNARDO

Journal:

International Journal of Modern Physics A

Year:

2003

Language:

english

File:

PDF, 310 KB

english, 2003

50

A simple difference realization of the Heisenberg q-algebra

Atakishiyev, Natig M., Frank, Alejandro, Wolf, Kurt Bernardo

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 854 KB

english, 1994