References

  1. Andrews L.C. Special Functions of mathematics for engineers. Oxford University Press, Oxford, 1998.
  2. Andrews G.E., Askey R., Roy R. Special functions. Cambridge University Press, Cambridge, 1999.
  3. Cao J., Raza N., Fadel M. Two-variable \(q\)-Laguerre polynomials from the context of quasi-monomiality. J. Math. Anal. Appl. 2024, 535 (2), 128126. doi:10.1016/j.jmaa.2024.128126
  4. Costabile F.A., Khan S., Ali H. A study of the \(q\)-Truncated Exponential-Appell polynomials. Mathematics 2024, 12 (23), 3862. doi:10.3390/math12233862
  5. Dattoli G., Torre A. Symmetric \(q\)-Bessel functions. Matematiche (Catania) 1996, 51 (1), 153–167.
  6. Dattoli G., Torre A. \(q\)-Bessel functions: the point of view of the generating function method. Rend. Mat. Appl. (7) 1997, 17 (2), 329–345.
  7. Dattoli G., Ricci P.E., Marinelli L. Generalized truncated exponential polynomials and applications. Rend. Istit. Mat. Univ. Trieste 2002, 34 (1–2), 9–18.
  8. Dattoli G., Cesarano C., Sacchetti D. A note on truncated polynomials. Appl. Math. Comput. 2003, 134 (2–3), 595–605. doi:10.1016/S0096-3003(01)00310-1
  9. Dattoli G., Ricci P.E. Laguerre-type exponentials, and the relevant \(L\)-circular and \(L\)-hyperbolic functions. Georgian Math. J. 2003, 10 (3), 481–494. doi:10.1515/GMJ.2003.481
  10. Fadel M., Muhyi A. On a family of \(q\)-modified-Laguerre-Appell polynomials. Arab J. Basic Appl. Sci. 2024, 31 (1), 165–176. doi:10.1080/25765299.2024.2314282
  11. Fadel M., Ramırez W., Cesarano C., Dı́az S. The 2-variable truncated Tricomi functions. Dolomites Res. Notes Approx. 2025, 18 (1), 49–55. doi:10.25430/pupj-DRNA-2025-1-5
  12. Gasper G., Rahman M. Basic hypergeometric series. Cambridge University Press, Cambridge, 2004.
  13. Jackson M.A. XI.–On \(q\)-functions and a certain difference operator. Earth Environ. Sci. Trans. R. Soc. Edinb. 1909, 46 (2), 253–281. doi:10.1017/S0080456800002751
  14. Kac V., Cheung P. Quantum calculus. Springer, New York, 2002.
  15. Khan S., Yasmin G., Ahmad N. On a new family related to truncated exponential and Sheffer polynomials. J. Math. Anal. Appl. 2014, 418 (2), 921–937. doi:10.1016/j.jmaa.2014.04.028
  16. Khan S., Yasmin G., Ahmad N. A note on truncated exponential-based Appell polynomials. Bull. Malays. Math. Sci. Soc. 2017, 40 (1), 373–388. doi:10.1007/s40840-016-0343-1
  17. Kumam W., Srivastava H.M., Wani S.A., Araci S., Kumam P. Truncated-exponential-based Frobenius-Euler polynomials. Adv. Differ. Equ. 2019, 2019, 530. doi:10.1186/s13662-019-2462-0
  18. Raza N., Fadel M., Nisar K.S., Zakarya M. On 2-variable \(q\)-Hermite polynomials. AIMS Math. 2021, 6 (8), 8705–8727. doi:10.3934/math.2021506
  19. Raza N., Fadel M., Cesarano C. A note of \(q\)-truncated exponential polynomials. Carpathian Math. Publ. 2024, 16 (1), 128–147. doi:10.15330/cmp.16.1.128-147
  20. Raza N., Fadel M., Cesarano C. On 2-variable \(q\)-Legendre polynomials: the view point of the \(q\)-operational technique. Carpathian Math. Publ. 2025, 11 (1), 14–26. doi:10.15330/cmp.17.1.14-26
  21. Riyasat M., Nahid T., Khan S. \(q\)-Tricomi functions and quantum algebra representations. Georgian Math. J. 2021, 28 (5), 793–803. doi:10.1515/gmj-2020-2079
  22. Ricci P.E. Laguerre-type exponentials, Laguerre derivatives and applications. A survey. Mathematics 2020, 8 (11), 2054. doi:10.3390/math8112054
  23. Srivastava H.M., Arjika S. A general family of \(q\)-hypergeometric polynomials and associated generating functions. Mathematics 2021, 9 (11), article 1161. doi:10.3390/math9111161