On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Abstract

In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function. Then, we analyze some summation and addition formulas for these polynomials. In addition, we derive some correlations with degenerate Stirling numbers of both kinds and degenerate Frobenius-Euler polynomials. Moreover, we present difference and derivative operator rules for the generalized degenerate Frobenius-Euler-Genocchi polynomials. Lastly, we show certain zeros of both the degenerate Frobenius-Euler-Genocchi polynomials and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials and provide their beautifully graphical representations.

Keywords:

• Degenerate Frobenius-Genocchi polynomials
• degenerate Frobenius-Euler polynomials
• degenerate Frobenius-Genocchi-Euler polynomials
• degenerate Changhee-Frobenius-Genocchi-Euler polynomials
• degenerate exponential function
• degenerate logarithm function

2010 Mathematics Subject Classifications:

• 11B83
• 11B73
• 05A19

Disclosure statement

No potential conflict of interest was reported by the authors.