Results 51 to 60 of about 128 (117)
Some properties of extended remainder of binet’s first formula for logarithm of gamma function [PDF]
Mathematica Slovaca, 2010 Abstract In the paper, we extend Binet’s first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet’s first formula for the logarithm of the gamma function and related functions.
Qui, Feng, Guo, Bai-Ni
openaire +2 more sources
Massive Spanning Forests on the Complete Graph: Exact Distribution and Local Limit
Random Structures &Algorithms, Volume 68, Issue 2, March 2026.ABSTRACT We provide new exact formulas for the distribution of massive spanning forests on the complete graph, which give also a new outlook on the celebrated special case of the uniform spanning tree. As a corollary we identify their local limit. This generalizes a well‐known theorem of Grimmett on the local limit of uniform spanning trees on the ...
Matteo D'Achille +2 more
wiley +1 more source
Solvent‐Mediated Dewetting Principles for Cell‐Sized Liposome Formation
Small, Volume 22, Issue 18, 25 March 2026.Dynamics of solvent‐mediated dewetting for giant unilamellar liposome formation. Solvent removal, through changing lipid packing and membrane tension, is shown to induce partial dewetting into equilibrium low and high budding angle morphologies. Complete dewetting requires mechanical force, quantified using optical tweezers.
Mostafa Bakouei +6 more
wiley +1 more source
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley +1 more source
The Romantic Discovery of Radiolaria in the Ocean
Journal of Eukaryotic Microbiology, Volume 73, Issue 1, January/February 2026.ABSTRACT Radiolaria are unicellular marine organisms (protists) that have been drifting in oceanic plankton for hundreds of millions of years. These mineral architects can build extraordinarily complex skeletons, which fascinated and puzzled naturalists observing water samples through rudimentary microscopes.
Johan Decelle
wiley +1 more source
Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
wiley +1 more source
Generalization of the 2-Fibonacci sequences and their Binet formula
Notes on Number Theory and Discrete MathematicsWe will explore the generalization of the four different 2-Fibonacci sequences defined by Atanassov. In particular, we will define recurrence relations to generate each part of a 2-Fibonacci sequence, discuss the generating function and Binet formula of each of these sequences, and provide the necessary and sufficient conditions to obtain each type of ...
Timmy Ma, Richard Vernon, Gurdial Arora
openaire +1 more source
Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence
Ratio MathematicaOne of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan +2 more
doaj +1 more source
A generalization of the Binet-Minc formula for the evaluation of permanents
Linear Algebra and its Applications, 1988 The author presents a formula which coincides with the Binet-Minc formula for the evaluation of the permanent of the matrix \((a_{ij})\) which is presented in the polynomial \(\prod^{n}_{i=1}(\sum^{m}_{j=1}a_{ij}x_ j)\) where this formula is considered for the sum of the coefficients of monomials of the form \(x^{j_ 1}_{\ell_ 1}...x^{j_ p}_{\ell_ p ...
openaire +2 more sources
THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS
Taiwanese Journal of Mathematics, 2006 In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-k Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the
Kiliç, Emrah, Taşci, Dursun
openaire +4 more sources