Polynomials: Special Polynomials and Number-Theoretical Applications
Polynomials play a crucial role in many areas of mathematics including algebra, analysis, number theory, and probability theory. They also appear in physics, chemistry, and economics. Especially extensively studied are certain infinite families of polynomials. Here, we only mention some examples: Be...
Saved in:
Other Authors: | |
---|---|
Format: | Electronic Book Chapter |
Language: | English |
Published: |
Basel, Switzerland
MDPI - Multidisciplinary Digital Publishing Institute
2021
|
Subjects: | |
Online Access: | DOAB: download the publication DOAB: description of the publication |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
MARC
LEADER | 00000naaaa2200000uu 4500 | ||
---|---|---|---|
001 | doab_20_500_12854_76516 | ||
005 | 20220111 | ||
003 | oapen | ||
006 | m o d | ||
007 | cr|mn|---annan | ||
008 | 20220111s2021 xx |||||o ||| 0|eng d | ||
020 | |a books978-3-0365-0819-1 | ||
020 | |a 9783036508184 | ||
020 | |a 9783036508191 | ||
040 | |a oapen |c oapen | ||
024 | 7 | |a 10.3390/books978-3-0365-0819-1 |c doi | |
041 | 0 | |a eng | |
042 | |a dc | ||
072 | 7 | |a GP |2 bicssc | |
072 | 7 | |a P |2 bicssc | |
100 | 1 | |a Pintér, Ákos |4 edt | |
700 | 1 | |a Pintér, Ákos |4 oth | |
245 | 1 | 0 | |a Polynomials: Special Polynomials and Number-Theoretical Applications |
260 | |a Basel, Switzerland |b MDPI - Multidisciplinary Digital Publishing Institute |c 2021 | ||
300 | |a 1 electronic resource (154 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
520 | |a Polynomials play a crucial role in many areas of mathematics including algebra, analysis, number theory, and probability theory. They also appear in physics, chemistry, and economics. Especially extensively studied are certain infinite families of polynomials. Here, we only mention some examples: Bernoulli, Euler, Gegenbauer, trigonometric, and orthogonal polynomials and their generalizations. There are several approaches to these classical mathematical objects. This Special Issue presents nine high quality research papers by leading researchers in this field. I hope the reading of this work will be useful for the new generation of mathematicians and for experienced researchers as well | ||
540 | |a Creative Commons |f https://creativecommons.org/licenses/by/4.0/ |2 cc |4 https://creativecommons.org/licenses/by/4.0/ | ||
546 | |a English | ||
650 | 7 | |a Research & information: general |2 bicssc | |
650 | 7 | |a Mathematics & science |2 bicssc | |
653 | |a Shivley's matrix polynomials | ||
653 | |a Generating matrix functions | ||
653 | |a Matrix recurrence relations | ||
653 | |a summation formula | ||
653 | |a Operational representations | ||
653 | |a Euler polynomials | ||
653 | |a higher degree equations | ||
653 | |a degenerate Euler numbers and polynomials | ||
653 | |a degenerate q-Euler numbers and polynomials | ||
653 | |a degenerate Carlitz-type (p, q)-Euler numbers and polynomials | ||
653 | |a 2D q-Appell polynomials | ||
653 | |a twice-iterated 2D q-Appell polynomials | ||
653 | |a determinant expressions | ||
653 | |a recurrence relations | ||
653 | |a 2D q-Bernoulli polynomials | ||
653 | |a 2D q-Euler polynomials | ||
653 | |a 2D q-Genocchi polynomials | ||
653 | |a Apostol type Bernoulli | ||
653 | |a Euler and Genocchi polynomials | ||
653 | |a Euler numbers and polynomials | ||
653 | |a Carlitz-type degenerate (p,q)-Euler numbers and polynomials | ||
653 | |a Carlitz-type higher-order degenerate (p,q)-Euler numbers and polynomials | ||
653 | |a symmetric identities | ||
653 | |a (p, q)-cosine Bernoulli polynomials | ||
653 | |a (p, q)-sine Bernoulli polynomials | ||
653 | |a (p, q)-numbers | ||
653 | |a (p, q)-trigonometric functions | ||
653 | |a Bernstein operators | ||
653 | |a rate of approximation | ||
653 | |a Voronovskaja type asymptotic formula | ||
653 | |a q-cosine Euler polynomials | ||
653 | |a q-sine Euler polynomials | ||
653 | |a q-trigonometric function | ||
653 | |a q-exponential function | ||
653 | |a multiquadric | ||
653 | |a radial basis function | ||
653 | |a radial polynomials | ||
653 | |a the shape parameter | ||
653 | |a meshless | ||
653 | |a Kansa method | ||
856 | 4 | 0 | |a www.oapen.org |u https://mdpi.com/books/pdfview/book/3962 |7 0 |z DOAB: download the publication |
856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/76516 |7 0 |z DOAB: description of the publication |