A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types
We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial sequences. Moreover, considering their degener...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/11/1064 |
| _version_ | 1819146156315246592 |
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| author | Dojin Kim |
| author_facet | Dojin Kim |
| author_sort | Dojin Kim |
| collection | DOAJ |
| description | We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial sequences. Moreover, considering their degenerate types of Sheffer sequences based on umbral composition, we present some useful expressions, properties, and examples about complex versions of the degenerate polynomials. |
| first_indexed | 2024-12-22T13:09:27Z |
| format | Article |
| id | doaj.art-17c9945ab6944052a072d433256d4a55 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-22T13:09:27Z |
| publishDate | 2019-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-17c9945ab6944052a072d433256d4a552022-12-21T18:24:46ZengMDPI AGMathematics2227-73902019-11-01711106410.3390/math7111064math7111064A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate TypesDojin Kim0Department of Mathematics, Pusan National University, Busan 46241, KoreaWe study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial sequences. Moreover, considering their degenerate types of Sheffer sequences based on umbral composition, we present some useful expressions, properties, and examples about complex versions of the degenerate polynomials.https://www.mdpi.com/2227-7390/7/11/1064sheffer sequencesumbral calculusbinomial convolutiondegenerationchanghee polynomialsdaehee polynomialsdegenerate changhee polynomialsdegenerate daehee polynomials |
| spellingShingle | Dojin Kim A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types Mathematics sheffer sequences umbral calculus binomial convolution degeneration changhee polynomials daehee polynomials degenerate changhee polynomials degenerate daehee polynomials |
| title | A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types |
| title_full | A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types |
| title_fullStr | A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types |
| title_full_unstemmed | A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types |
| title_short | A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types |
| title_sort | class of sheffer sequences of some complex polynomials and their degenerate types |
| topic | sheffer sequences umbral calculus binomial convolution degeneration changhee polynomials daehee polynomials degenerate changhee polynomials degenerate daehee polynomials |
| url | https://www.mdpi.com/2227-7390/7/11/1064 |
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