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IDENTITIES OF SYMMETRY FOR DEGENERATE EULER POLYNOMIALS AND ALTERNATING GENERALIZED FALLING FACTORIAL SUMS | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 05 بهمن 1394 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3560 | ||
| نویسندگان | ||
| Taekyun Kim* 1؛ Dae San Kim2 | ||
| 1Kwangwoon University, South Korea | ||
| 2Sogang University | ||
| چکیده | ||
| Eight basic identities of symmetry in three variables, which are related to degenerate Euler polynomials and alternating generalized falling factorial sums, are derived. These are the degenerate versions of the symmetric identities in three variables obtained in a previous paper. The derivations of identities are based on the p-adic integral expression of the generating function for the degenerate Euler polynomials and the quotient of integrals that can be expressed as the exponential generating function for the alternating generalized falling factorial sums. Those eight basic identities and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. | ||
| کلیدواژهها | ||
| degenerate Euler polynomial؛ alternating generalized falling factorial sum؛ fermionic p-adic integral؛ identities of symmetry | ||
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