Determination of the Properties of (<em>p</em>, <em>q</em>)‐Sigmoid Polynomials and the Structure of Their Roots
Nowadays, many mathematicians have great concern about p q -numbers, which are various applications, and have studied these numbers in many different research areas. We know that p q -numbers are different to q -numbers because of the symmetric property. We find the addition theorem, re...
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| Autor principal: | |
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| Formato: | Capítulo de libro |
| Lenguaje: | inglés |
| Publicado: |
IntechOpen
2020
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| Materias: | |
| Acceso en línea: | https://www.intechopen.com/chapters/72114 |
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| Sumario: | Nowadays, many mathematicians have great concern about
p
q
-numbers, which are various applications, and have studied these numbers in many different research areas. We know that
p
q
-numbers are different to
q
-numbers because of the symmetric property. We find the addition theorem, recurrence formula, and
p
q
-derivative about sigmoid polynomials including
p
q
-numbers. Also, we derive the relevant symmetric relations between
p
q
-sigmoid polynomials and
p
q
-Euler polynomials. Moreover, we observe the structures of appreciative roots and fixed points about
p
q
-sigmoid polynomials. By using the fixed points of
p
q
-sigmoid polynomials and Newton’s algorithm, we show self-similarity and conjectures about
p
q
-sigmoid polynomials. |
|---|---|
| ISBN: | 978-1-83968-050-2 |
| DOI: | 10.5772/intechopen.91862 |