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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

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

3

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

4

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

5

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

6

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

7

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

8

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

9

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

10

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

11

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

12

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

13

[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

14

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

15

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

16

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

17

The relativistic coma aberration. I. Geometrical optics

Atakishiyev, Natig M., Lassner, Wolfgang, Wolf, Kurt Bernardo

Journal:

Journal of Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 720 KB

english, 1989

18

CONTRACTION OF THE FINITE RADIAL OSCILLATOR

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

Journal:

International Journal of Modern Physics A

Year:

2003

Language:

english

File:

PDF, 340 KB

english, 2003

19

SPIE Proceedings [SPIE AeroSense '97 - Orlando, FL (Monday 21 April 1997)] Photonic Quantum Computing - Wigner distribution function for finite signals

Wolf, Kurt B., Atakishiyev, Natig M., Chumakov, Sergey M., Hotaling, Steven P., Pirich, Andrew R.

Year:

1997

Language:

english

File:

PDF, 523 KB

english, 1997

20

ON UNITARY TRANSFORMATIONS OF ORTHOFERMION ALGEBRA THAT FORM A QUANTUM GROUP

ALTINTAṢ, AZMI ALI, ARIK, METIN, ATAKISHIYEV, NATIG M.

Journal:

Modern Physics Letters A

Year:

2006

Language:

english

File:

PDF, 112 KB

english, 2006

21

The relativistic coma aberration. II. Helmholtz wave optics

Atakishiyev, Natig M., Lassner, Wolfgang, Wolf, Kurt Bernardo

Journal:

Journal of Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 870 KB

english, 1989

22

SPIE Proceedings [SPIE Aerospace/Defense Sensing, Simulation, and Controls - Orlando, FL (Monday 16 April 2001)] Photonic and Quantum Technologies for Aerospace Applications III - Integral representation and a Rodrigues-type difference formula for the continuous q-Hermite polynomials

Atakishiyev, Natig M., Atakishiyeva, Mesuma K., Donkor, Eric, Pirich, Andrew R., Taylor, Edward W.

Year:

2001

Language:

english

File:

PDF, 160 KB

english, 2001

23

SPIE Proceedings [SPIE Aerospace/Defense Sensing and Controls - Orlando, FL (Monday 13 April 1998)] Photonic Quantum Computing II - Q-extension of the linear harmonic oscillator

Atakishiyeva, Mesuma K., Atakishiyev, Natig M., Villegas-Blas, Carlos, Hotaling, Steven P., Pirich, Andrew R.

Year:

1998

Language:

english

File:

PDF, 202 KB

english, 1998

24

SPIE Proceedings [SPIE Aerospace/Defense Sensing and Controls - Orlando, FL (Monday 13 April 1998)] Photonic Quantum Computing II - Difference oscillator in terms of the Meixner polynomials

Atakishiyev, Natig M., Jafarov, Elchin I., Nagiyev, Shakir M., Wolf, Kurt B., Hotaling, Steven P., Pirich, Andrew R.

Year:

1998

Language:

english

File:

PDF, 279 KB

english, 1998

25

SPIE Proceedings [SPIE International Commission for Optics (ICO 22) - Puebla, Mexico (Monday 15 August 2011)] 22nd Congress of the International Commission for Optics: Light for the Development of the World - Finite optical Hamiltonian systems

Wolf, Kurt Bernardo, Atakishiyev, Natig M., Vincent, Luis Edgar, Krötzsch, Guillermo, Rueda-Paz, Juvenal, Rodríguez-Vera, Ramón, Díaz-Uribe, Rufino

Year:

2011

Language:

english

File:

PDF, 663 KB

english, 2011

26

[World Scientific Publishing Co. Pte. Ltd. Quantum Theory and Symmetries - The Second International Symposium - Kraków, Poland (2001.07.18-2001.07.21)] Quantum Theory and Symmetries - Proceedings of the Second International Symposium - SEPARATION OF DISCRETE VARIABLES IN THE 2-DIM FINITE OSCILLATOR

ATAKISHIYEV, NATIG M., POGOSYAN, GEORGE S., VICENT, LUIS EDGAR, WOLF, KURT BERNARDO

Year:

2002

Language:

english

File:

PDF, 294 KB

english, 2002

27

Quantum algebraic structures compatible with the harmonic oscillator Newton equation

Arik, Metin, Atakishiyev, Natig M, Wolf, Kurt Bernardo

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1999

Language:

english

File:

PDF, 96 KB

english, 1999

28

Bivariate raising and lowering differential operators for eigenfunctions of a 2D Fourier transform

Area, Iván, Atakishiyev, Natig, Godoy, Eduardo, Wolf, Kurt Bernardo

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2015

Language:

english

File:

PDF, 444 KB

english, 2015

29

Kravchuk polynomials and irreducible representations of the rotation group\(SO(3)\)

Atakishiyeva, Mesuma K., Atakishiyev, Natig M., Wolf, Kurt Bernardo

Journal:

Boletín de la Sociedad Matemática Mexicana

Year:

2015

Language:

english

File:

PDF, 264 KB

english, 2015

30

On Fourier integral transforms for q -Fibonacci and q -Lucas polynomials

Atakishiyev, Natig, Franco, Pedro, Levi, Decio, Ragnisco, Orlando

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2012

Language:

english

File:

PDF, 146 KB

english, 2012

31

Wigner distribution function for Euclidean systems

Nieto, Luis Miguel, Atakishiyev, Natig M, Chumakov, Sergey M, Wolf, Kurt Bernardo

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1998

Language:

english

File:

PDF, 445 KB

english, 1998

32

The Fourier U(2) F group on square and round pixellated arrays

Wolf, Kurt Bernardo, Atakishiyev, Natig M

Journal:

Journal of Physics Conference Series

Year:

2012

Language:

english

File:

PDF, 460 KB

english, 2012

33

Kravchuk oscillator revisited

Atakishiyeva, Mesuma K, Atakishiyev, Natig M, Wolf, Kurt Bernardo

Journal:

Journal of Physics Conference Series

Year:

2014

Language:

english

File:

PDF, 673 KB

english, 2014

34

Interbasis expansions in the Zernike system

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

Journal:

Journal of Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 3.02 MB

english, 2017

35

On elliptic trigonometric form of the Zernike system and polar limits

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

Journal:

Physica Scripta

Year:

2019

Language:

english

File:

PDF, 4.13 MB

english, 2019

36

Spherical geometry, Zernike’s separability, and interbasis expansion coefficients

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

Journal:

Journal of Mathematical Physics

Year:

2019

Language:

english

File:

PDF, 5.50 MB

english, 2019

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