Results 41 to 50 of about 427,829 (170)

Multi-Stirling numbers of the second kind [PDF]

arXiv, 2023
The multi-Stirling numbers of the second kind, the unsigned multi-Stirling numbers of the first kind, the multi-Lah numbers and the multi-Bernoulli numbers are all defined with the help of the multiple logarithm, and generalize respectively the Stirling numbers of the second kind, the unsigned Stirling numbers of the first kind, the unsigned Lah ...
arxiv  

On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers

Mathematics
This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Catarino   +2 more
doaj   +1 more source

Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers [PDF]

, 2017
In this paper, we define the truncated Bernoulli-Carlitz numbers and the truncated Cauchy-Carlitz numbers as analogues of hypergeometric Bernoulli numbers and hypergeometric Cauchy numbers, and as extensions of Bernoulli-Carlitz numbers and the Cauchy-Carlitz numbers.
arxiv   +1 more source

Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits

, 2021
See the abstract in the attached pdf.
Rayaguru, S.G., Panda, G.K.
openaire   +2 more sources

Cyclic prime numbers [PDF]

arXiv, 2021
This work is meant to demonstrate new class of prime numbers -- cyclic prime numbers, that can be derived from any prime number at certain numeric systems. Cyclic prime numbers are also related to the cyclic numbers and full reptend prime numbers. Cyclic prime numbers, derived from the same prime number, could be grouped.
arxiv  

Some identities on degenerate hyperharmonic numbers [PDF]

arXiv, 2022
The aim of this paper is to investigate some properties, recurrence relations and identities involving degenerate hyperharmonic numbers, hyperharmonic numbers and degenerate harmonic numbers. In particular, we derive an explicit expression of the degenerate hyperharmonic numbers in terms of the degenerate harmonic numbers.
arxiv  

Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers

Annales Mathematicae Silesianae
A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.
Chimpanzo J., Otero-Espinar M.V., Borges A., Vasco P., Catarino P.   +4 more
doaj   +1 more source

Smooth numbers in Beatty sequences [PDF]

arXiv, 2021
An asymptotic formula is given for the number of y-smooth numbers up to x in a Beatty sequence corresponding to an irrational number of finite type.
arxiv  

Carlitz q-Bernoulli numbers and q-Stirling numbers [PDF]

arXiv, 2007
In this paper we consider carlitz q-Bernoulli numbers and q-stirling numbers of the first and the second kind. From these numbers we derive many interesting formulae associated with q-Bernoulli numbers.
arxiv  

q-Bernoulli numbers and Stirling numbers(2) [PDF]

arXiv, 2007
In this paper we study q-Bernoulli numbers and polynomials related to q-Stirling numbers. From thsese studying we investigate some interesting q-stirling numbers' identities related to q-Bernoulli numbers.
arxiv