Get started
Keyword

q-exponential function

Description: The q-exponential function is a deformation of the ordinary exponential function used in q-calculus, statistical mechanics, and generalized growth models.
OpenAlex ID: keywords/q-exponential-function
A possible deformed algebra and calculus inspired in nonextensive thermostatistics
2004 · Ernesto P. Borges · Physica A Statistical Mechanics and its Applications · 367
UniversalR-matrix for quantized (super)algebras
1991 · S. M. Khoroshkin, V. N. Tolstoy · Communications in Mathematical Physics · 361
Nonlinear Relativistic and Quantum Equations with a Common Type of Solution
2011 · F. D. Nobre, M. A. Rego-Monteiro, et al. · Physical Review Letters · 163
PDF
Diagonalization of Certain Integral Operators
1994 · M.E.H. Ismail, R. Zhang · Advances in Mathematics · 111
Some properties of q-logarithm and q-exponential functions in Tsallis statistics
2002 · Takuya Yamano · Physica A Statistical Mechanics and its Applications · 110
A note on the relevance of the q-exponential function in the context of intertemporal choices
2005 · Daniel O. Cajueiro · Physica A Statistical Mechanics and its Applications · 90
Free braided differential calculus, braided binomial theorem and the braided exponential map
1993 · Majid, S, Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics · 89
Law of Error in Tsallis Statistics
2005 · H. Suyari, M. Tsukada · IEEE Transactions on Information Theory · 86
PDF
The quantum algebra Uq(sl2) and its equitable presentation
2005 · Tatsuro Ito, Paul Terwilliger, et al. · Journal of Algebra · 81
PDF
Free braided differential calculus, braided binomial theorem, and the braided exponential map
1993 · S. Majid · Journal of Mathematical Physics · 79
PDF
Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the q-exponential function
2021 · H.M. Srivastava, Bilal Khan, et al. · Bulletin des Sciences Mathématiques · 73
Special functions and 𝑞-commuting variables
1997 · Tom Koornwinder · 73
More on the q-oscillator algebra and q-orthogonal polynomials
1995 · Roberto Floreanini, Jean LeTourneux, et al. · 72
Applications of q-Taylor theorems
2003 · Mourad E.H. Ismail, Dennis Stanton · Journal of Computational and Applied Mathematics · 71
PDF
Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
2003 · C Quesne, V M Tkachuk · Journal of Physics A Mathematical and General · 69
PDF
More on the q-oscillator algebra and q-orthogonal polynomials
1995 · R Floreanini, J LeTourneux, et al. · Journal of Physics A Mathematical and General · 66
PDF
The q-deformed harmonic oscillator, coherent states, and the uncertainty relation
2006 · V. V. Eremin, A. A. Meldianov · Theoretical and Mathematical Physics · 64
PDF
The dual of a quantum group
1993 · C. Fronsdal, A. Galindo · Letters in Mathematical Physics · 61
Superstatistical generalization of the work fluctuation theorem
2004 · C. Beck, E.G.D. Cohen · Physica A Statistical Mechanics and its Applications · 60
PDF
On a one-parameter family ofq-exponential functions
1996 · N M Atakishiyev · Journal of Physics A Mathematical and General · 50
Asymptotic Expansions for q-Gamma, q-Exponential, and q-Bessel Functions
1994 · A.B.O. Daalhuis · Journal of Mathematical Analysis and Applications · 48
Generalized space and linear momentum operators in quantum mechanics
2014 · Bruno G. da Costa, Ernesto P. Borges · Journal of Mathematical Physics · 47
PDF
q-Integral and Moment Representations for q-Orthogonal Polynomials
2002 · Mourad E. H. Ismail, Dennis Stanton · Canadian Journal of Mathematics · 47
PDF
New representations of π and Dirac delta using the nonextensive-statistical-mechanics q-exponential function
2010 · M. Jauregui, C. Tsallis · Journal of Mathematical Physics · 46
PDF
Dunkl generalization of Szász operators via q-calculus
2015 · Gürhan İçöz, Bayram Çekim · Journal of Inequalities and Applications · 45
PDF
Works count: 476
Citation count: 5,386
Year
Topic
Type