Results 31 to 40 of about 933 (84)

Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004
We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
wiley   +1 more source

Delta and Theta Operator Expansions

Forum of Mathematics, Sigma
We give an elementary symmetric function expansion for the expressions $M\Delta _{m_\gamma e_1}\Pi e_\lambda ^{\ast }$ and $M\Delta _{m_\gamma e_1}\Pi s_\lambda ^{\ast }$ when $t=1$ in terms of what we call $\gamma $ -parking ...
Alessandro Iraci, Marino Romero
doaj   +1 more source

Schur convexity for the ratios of the Hamy and generalized Hamy symmetric functions

, 2011
In this paper, we present the Schur convexity and monotonicity properties for the ratios of the Hamy and generalized Hamy symmetric functions and establish some analytic inequalities. The achieved results is inspired by the paper of Hara et al.
Wei-Mao Qian
semanticscholar   +1 more source

The combinatorial structure of trigonometry

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 8, Page 475-500, 2003., 2003
The native mathematical language of trigonometry is combinatorial. Two interrelated combinatorial symmetric functions underlie trigonometry. We use their characteristics to derive identities for the trigonometric functions of multiple distinct angles.
Adel F. Antippa
wiley   +1 more source

Schubert polynomial expansions revisited

Forum of Mathematics, Sigma
We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau, Hunter Spink, Vasu Tewari   +2 more
doaj   +1 more source

Effect of Gabapentin Administered With Prednisolone, Ciclosporin or a Placebo on Clinical Outcomes and Motor Activity in Cats With Atopic Skin Syndrome: A Prospective, Blinded, Placebo‐Controlled Study

Veterinary Dermatology, Volume 36, Issue 6, Page 814-824, December 2025.
Background: Gabapentin reportedly decreases central sensitisation, a disorder associated with chronic pruritus in humans, although this is not well documented in cats. Its combined use with the standard antipruritic therapy for feline atopic skin syndrome (FASS) is not yet described.
Jeanne Morency, Éric Troncy, Aliénor Delsart, Colombe Otis, Jérôme R. E. Del Castillo, Andrea Gonzales, Jason Ross, Maxim Moreau, Jean‐Pierre Pelletier, Johanne Martel‐Pelletier, Frédéric Sauvé   +10 more
wiley   +1 more source

A short proof of an identity of Sylvester

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 431-435, 1999., 1999
We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth′s proof and is analogous to Macdonald′s proof of a related identity of Milne. The second is Sylvester′s own proof of his identity.
Gaurav Bhatngar
wiley   +1 more source

A raising operator formula for Macdonald polynomials

Forum of Mathematics, Sigma
We give an explicit raising operator formula for the modified Macdonald polynomials $\tilde {H}_{\mu }(X;q,t)$ , which follows from our recent formula for $\nabla $ on an LLT polynomial and the Haglund-Haiman-Loehr formula expressing ...
J. Blasiak, M. Haiman, J. Morse, A. Pun, G. H. Seelinger   +4 more
doaj   +1 more source

The Smith Normal Form of a Specialized Jacobi-Trudi Matrix [PDF]

, 2015
Let $\mathrm{JT}_\lambda$ be the Jacobi-Trudi matrix corresponding to the partition $\lambda$, so $\det\mathrm{JT}_\lambda$ is the Schur function $s_\lambda$ in the variables $x_1,x_2,\dots$. Set $x_1=\cdots=x_n=1$ and all other $x_i=0$. Then the entries
Stanley, Richard P.
core  

Efficacy and field safety of ilunocitinib for the control of atopic dermatitis in client‐owned dogs: A multicentre, double‐masked, randomised, placebo‐controlled clinical trial

Veterinary Dermatology, Volume 36, Issue 5, Page 647-659, October 2025.
Background – Inhibition of the Janus kinase (JAK) pathway is a well‐established option for canine atopic dermatitis (cAD). Objective – To evaluate the efficacy and safety of ilunocitinib, a novel JAK inhibitor for the control of pruritus and skin lesions in client‐owned dogs with cAD.
Sophie Forster, Candace M. Trout, Simona Despa, Annette Boegel, Darren Berger, Stephen King   +5 more
wiley   +1 more source