JournalTOCs

About Help News

Most Followed Journals

Top Publishers

Top Subjects

Similar Journals

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Number of Followers: 1

This is an Open Access Journal

Open Access journal
ISSN (Print) 0365-1029 - ISSN (Online) 2083-7402
Published by Wydawnictwo UMCS

[26 journals]

A new hybrid generalization of Fibonacci and Fibonacci-Narayana
polynomials
- Authors: Dorota Bród, Anetta Szynal-Liana
  Pages: 1 - 12
  Abstract: The hybrid numbers are generalization of complex, hyperbolic and dual numbers. The hybrinomials are polynomials which generalize hybrid numbers. In this paper, we introduce and study the distance Fibonacci hybrinomials, i.e. hybrinomials with coefficients being distance Fibonacci polynomials.
  PubDate: 2023-09-30
  DOI: 10.17951/a.2023.77.1.1-12
  Issue No: Vol. 77, No. 1 (2023)
On intermediate q-Lauricella functions in the spirit of Karlsson, Chandel
Singh and Gupta
- Authors: Thomas Ernst
  Pages: 13 - 23
  Abstract: The purpose of this article is to define some intermediate q-Lauricella functions, to find convergence regions in two different forms, and to prove corresponding reduction formulas by using a known lemma from our first book. These convergence regions are given in form of q-additions and q-real numbers. The third q-real number plays a special role in the computations. Generating functions are proved by using the q-binomial theorem. Finally, special cases of q-Lauricella functions as well as confluent forms in the spirit of Chandel Singh and Gupta are given.
  PubDate: 2023-09-30
  DOI: 10.17951/a.2023.77.1.13-23
  Issue No: Vol. 77, No. 1 (2023)
Counting holomorphic connections with a prescribed Ricci tensor
- Authors: Jan Kurek, Włodzimierz Mikulski, Mariusz Plaszczyk
  Pages: 25 - 34
  Abstract: How many holomorphic connections are there with a prescribed Ricci tensor' How many torsion-free holomorphic connections are there with a prescribed Ricci tensor' These questions are answered by using the holomorphic version of the Cauchy–Kowalevski theorem.
  PubDate: 2023-09-30
  DOI: 10.17951/a.2023.77.1.25-34
  Issue No: Vol. 77, No. 1 (2023)
Three types of reproducing kernel Hilbert spaces of polynomials
- Authors: Tomasz Łukasz Żynda
  Pages: 35 - 46
  Abstract: In this paper we will investigate reproducing kernel Hilbert spaces of polynomials of degree at most n with three different inner products: given by an integral with a weight, given by the sum of products of values of a polynomial at n + 1 points and given by the sum of products of coefficients of the same power. In the first case we will show that the reproducing kernel depends continuously on deformation of an inner product in a precisely defined sense. In the second and third case we will give a formula for the reproducing kernel.
  PubDate: 2023-09-30
  DOI: 10.17951/a.2023.77.1.35-46
  Issue No: Vol. 77, No. 1 (2023)

JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762

Your IP address: 3.233.221.90

Home (Search)
API
About JournalTOCs
News (blog, publications)