-
2
-
-
0001338151
-
The quantum relativistic harmonic oscillator: generalized Hermite polynomials
-
Aldaya V., Bisquert J., and Navarro-Salas J. The quantum relativistic harmonic oscillator: generalized Hermite polynomials. Phys. Lett. A 156 (1991) 381
-
(1991)
Phys. Lett. A
, vol.156
, pp. 381
-
-
Aldaya, V.1
Bisquert, J.2
Navarro-Salas, J.3
-
3
-
-
0002803522
-
Characterization theorems for orthogonal polynomials
-
Nevai P. (Ed), Kluwer Academic Publishers, New York
-
Al-Salam W.A. Characterization theorems for orthogonal polynomials. In: Nevai P. (Ed). Orthogonal Polynomials: Theory and Practice (1990), Kluwer Academic Publishers, New York
-
(1990)
Orthogonal Polynomials: Theory and Practice
-
-
Al-Salam, W.A.1
-
4
-
-
34547112485
-
-
R. Álvarez-Nodarse, J.L. Cardoso, N.R. Quintero, On recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogen like atoms: analytical and numerical study ETNA, Proceedings of the IWOP04, 2005.
-
-
-
-
8
-
-
34547101666
-
K-th differences of functions satisfying three term recurrence relations (I) and (II)
-
4 (1984) 47
-
Barik N. K-th differences of functions satisfying three term recurrence relations (I) and (II). Pure Math. Manuscript 3 (1984) 11-21 4 (1984) 47
-
(1984)
Pure Math. Manuscript
, vol.3
, pp. 11-21
-
-
Barik, N.1
-
9
-
-
0011511740
-
Recurrence relations for N-dimensional radial wave functions
-
Bera P.K., Battacharyya S., Das U., and Talukdar B. Recurrence relations for N-dimensional radial wave functions. Phys. Rev. A 48 (1993) 4764
-
(1993)
Phys. Rev. A
, vol.48
, pp. 4764
-
-
Bera, P.K.1
Battacharyya, S.2
Das, U.3
Talukdar, B.4
-
10
-
-
0000032737
-
Über Sturm-Liouvillesche polynomsysteme
-
Bochner S. Über Sturm-Liouvillesche polynomsysteme. Math. Z. 89 (1929) 730
-
(1929)
Math. Z.
, vol.89
, pp. 730
-
-
Bochner, S.1
-
11
-
-
0037470286
-
Recurrence relations for radial wavefunctions for the Nth-dimensional oscillators and hydrogenlike atoms
-
Cardoso J.L., and Álvarez-Nodarse R. Recurrence relations for radial wavefunctions for the Nth-dimensional oscillators and hydrogenlike atoms. J. Phys. A: Math. Gen. 36 (2003) 2055
-
(2003)
J. Phys. A: Math. Gen.
, vol.36
, pp. 2055
-
-
Cardoso, J.L.1
Álvarez-Nodarse, R.2
-
13
-
-
51249171944
-
Remarks of the derivation of sum rules of special functions
-
Dattoli G., and Dipace A. Remarks of the derivation of sum rules of special functions. Nuovo Cimento 90B (1985) 85
-
(1985)
Nuovo Cimento
, vol.90 B
, pp. 85
-
-
Dattoli, G.1
Dipace, A.2
-
14
-
-
51249171944
-
About the sum rules of special functions
-
Dattoli G., Dipace A., and Torre A. About the sum rules of special functions. Nuovo Cimento 90B (1985) 85
-
(1985)
Nuovo Cimento
, vol.90 B
, pp. 85
-
-
Dattoli, G.1
Dipace, A.2
Torre, A.3
-
15
-
-
51249174048
-
Biunitary transformations and ordinary differential equations I
-
Dattoli G., Loreto V., Mari C., Richetta M., and Torre A. Biunitary transformations and ordinary differential equations I. Nuovo Cimento 106B (1991) 1357
-
(1991)
Nuovo Cimento
, vol.106 B
, pp. 1357
-
-
Dattoli, G.1
Loreto, V.2
Mari, C.3
Richetta, M.4
Torre, A.5
-
16
-
-
51249177614
-
Biunitary transformations and ordinary differential equations II
-
Dattoli G., Loreto V., Mari C., Richetta M., and Torre A. Biunitary transformations and ordinary differential equations II. Nuovo Cimento 106B (1991) 1375
-
(1991)
Nuovo Cimento
, vol.106 B
, pp. 1375
-
-
Dattoli, G.1
Loreto, V.2
Mari, C.3
Richetta, M.4
Torre, A.5
-
17
-
-
51249177364
-
Biunitary transformations and ordinary differential equations III
-
Dattoli G., Loreto V., Mari C., Richetta M., and Torre A. Biunitary transformations and ordinary differential equations III. Nuovo Cimento 106B (1991) 1391
-
(1991)
Nuovo Cimento
, vol.106 B
, pp. 1391
-
-
Dattoli, G.1
Loreto, V.2
Mari, C.3
Richetta, M.4
Torre, A.5
-
18
-
-
34547111765
-
-
J.S. Dehesa, F. Domínguez-Adame, E.R. Arriola, A. Zarzo, Hydrogen atom and orthogonal polynomials, in: C. Brezinski, L. Gori, A. Ronveaux (Eds.), Proceedings of the Third International Symposium on Orthogonal Polynomials and Their Applications, IMACS Annals of Computational Applied Mathematics, vol. 9, J.C. Baltzer AG, Basel, 1991, p. 223.
-
-
-
-
19
-
-
38149147575
-
Non linear characterizations for functions of hypergeometric-type and their derivatives of any order
-
Dehesa J.S., Yáñez R.J., Pérez-Victoria M., and Sarsa A. Non linear characterizations for functions of hypergeometric-type and their derivatives of any order. J. Math. Anal. Appl. 184 (1994) 35
-
(1994)
J. Math. Anal. Appl.
, vol.184
, pp. 35
-
-
Dehesa, J.S.1
Yáñez, R.J.2
Pérez-Victoria, M.3
Sarsa, A.4
-
20
-
-
34547129781
-
New linear relationships of hypergeometric-type functions with applications to orthogonal polynomials
-
Dehesa J.S., Yáñez R.J., Zarzo A., and Aguilar J.A. New linear relationships of hypergeometric-type functions with applications to orthogonal polynomials. Rend. Mat. (Ser. VII) 13 Roma (1993) 661
-
(1993)
Rend. Mat. (Ser. VII)
, vol.13
, Issue.Roma
, pp. 661
-
-
Dehesa, J.S.1
Yáñez, R.J.2
Zarzo, A.3
Aguilar, J.A.4
-
21
-
-
0004116156
-
-
Oxford U.P., Oxford (see also Proc. R. Soc. London Ser. A 109 (1925) 642)
-
Dirac P.A.M. The Principles of Quantum Mechanics (1958), Oxford U.P., Oxford (see also Proc. R. Soc. London Ser. A 109 (1925) 642)
-
(1958)
The Principles of Quantum Mechanics
-
-
Dirac, P.A.M.1
-
23
-
-
34547105991
-
Sums of functions satisfying recursion relations
-
Hansen E.R. Sums of functions satisfying recursion relations. Amer. Math. Monthly 88 (1981) 676
-
(1981)
Amer. Math. Monthly
, vol.88
, pp. 676
-
-
Hansen, E.R.1
-
26
-
-
34547103948
-
Unified theory of recurrence formulas
-
244
-
Inoui T. Unified theory of recurrence formulas. Prog. Theoret. Phys. 3 (1948) 169 244
-
(1948)
Prog. Theoret. Phys.
, vol.3
, pp. 169
-
-
Inoui, T.1
-
29
-
-
34547106769
-
-
P. Martínez, R.J. Yáñez, A. Zarzo, Properties of the relativistic Hermite polynomials from the differential equation that they satisfy, in: D. Cocolicchio, G. Dattoli, H. Srivastava (Eds.), Proceedings of the Workshop "Advanced Special Functions and Applications" Melfi, Italy, May 1999, Aracne Editrice, Rome. Proc. Melfi Sch. Adv. Top. Math. Phys. 1 (2000) 127.
-
-
-
-
30
-
-
34547105249
-
-
W. Miller, Jr., Symmetry and Separation of Variables, Encyclopedia of Mathematics and Its Applications, vol. 4, Addison-Wesley, Reading, MA, 1977.
-
-
-
-
32
-
-
35949005869
-
Algebraic approach to matrix elements: recurrence relations and closed formulas for hydrogen-like wavefunctions
-
Morales J., Peña J.J., and López-Bonilla J.J. Algebraic approach to matrix elements: recurrence relations and closed formulas for hydrogen-like wavefunctions. Phys. Rev. A 45 (1992) 4259
-
(1992)
Phys. Rev. A
, vol.45
, pp. 4259
-
-
Morales, J.1
Peña, J.J.2
López-Bonilla, J.J.3
-
33
-
-
84953680342
-
Hydrogen atom and relativistic pi-mesic atom in N-space dimensions
-
Nieto M.M. Hydrogen atom and relativistic pi-mesic atom in N-space dimensions. Am. J. Phys. 47 (1979) 1067
-
(1979)
Am. J. Phys.
, vol.47
, pp. 1067
-
-
Nieto, M.M.1
-
36
-
-
38248998622
-
Correspondence principle for the quantized annulus: Romanovski polynomials and Morse potentials
-
Peetre J. Correspondence principle for the quantized annulus: Romanovski polynomials and Morse potentials. J. Funct. Anal. 117 (1993) 377
-
(1993)
J. Funct. Anal.
, vol.117
, pp. 377
-
-
Peetre, J.1
-
37
-
-
34547138361
-
-
A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev, Integrals and Series, 3 Volumes, Gordon & Breach, New York, 1986.
-
-
-
-
38
-
-
0016973281
-
Eine klasse isotroper turbulenzfelder mit permanenzeigenschaft und existenten tripelkorrelationen
-
Schultz-Piszachich W. Eine klasse isotroper turbulenzfelder mit permanenzeigenschaft und existenten tripelkorrelationen. Z. Angew. Math. Mech. 56 (1976) 303
-
(1976)
Z. Angew. Math. Mech.
, vol.56
, pp. 303
-
-
Schultz-Piszachich, W.1
-
39
-
-
84983965323
-
Some orthogonal polynomials representing the energy spectral functions for a family of isotropic turbulence fields
-
Srivastava H.M. Some orthogonal polynomials representing the energy spectral functions for a family of isotropic turbulence fields. Z. Angew. Math. Mech. 64 (1984) 255
-
(1984)
Z. Angew. Math. Mech.
, vol.64
, pp. 255
-
-
Srivastava, H.M.1
-
41
-
-
34547137846
-
-
C. Truesdell, An Essay Toward a Unified Theory of Special Functions, Annals of Mathematics Studies, No. 18, Princeton University Press, Princeton, NJ, 1948.
-
-
-
-
42
-
-
34547109818
-
Position and momentum information entropies of the D-dimensional harmonic oscillator and hydrogen atom
-
Yáñez R.J., van Assche W., and Dehesa J.S. Position and momentum information entropies of the D-dimensional harmonic oscillator and hydrogen atom. Phys. Rev. A 50 (1994) 489
-
(1994)
Phys. Rev. A
, vol.50
, pp. 489
-
-
Yáñez, R.J.1
van Assche, W.2
Dehesa, J.S.3
-
43
-
-
0041073087
-
The three-term recurrence relation and the differentiation formulas for hypergeometric-type functions
-
Yáñez R.J., Dehesa J.S., and Nikiforov A.F. The three-term recurrence relation and the differentiation formulas for hypergeometric-type functions. J. Math. Anal. Appl. 188 (1994) 855
-
(1994)
J. Math. Anal. Appl.
, vol.188
, pp. 855
-
-
Yáñez, R.J.1
Dehesa, J.S.2
Nikiforov, A.F.3
-
44
-
-
51249161440
-
Four-term recurrence relations of hypergeometric-type polynomials
-
Yáñez R.J., Dehesa J.S., and Zarzo A. Four-term recurrence relations of hypergeometric-type polynomials. Nuovo Cimento 109B (1994) 725
-
(1994)
Nuovo Cimento
, vol.109 B
, pp. 725
-
-
Yáñez, R.J.1
Dehesa, J.S.2
Zarzo, A.3
-
45
-
-
34547136146
-
-
A. Zarzo, Hypergeometric-type differential equations, Ph.D. Thesis, University of Granada, Granada, Spain, September 1995 (in Spanish).
-
-
-
-
46
-
-
0011653530
-
On a new set of polynomials representing the wave functions of the quantum relativistic harmonic oscillator
-
Zarzo A., Dehesa J.S., and Torres J. On a new set of polynomials representing the wave functions of the quantum relativistic harmonic oscillator. Ann. Numer. Math. 2 (1995) 439
-
(1995)
Ann. Numer. Math.
, vol.2
, pp. 439
-
-
Zarzo, A.1
Dehesa, J.S.2
Torres, J.3
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