Tiered trees, weights, and q-Eulerian numbers

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

THE q-TANGENT AND q-SECANT NUMBERS VIA BASIC EULERIAN POLYNOMIALS

The classical identity that relates Eulerian polynomials to tangent numbers together with the parallel result dealing with secant numbers is given a q-extension, both analytically and combinatorially. The analytic proof is based on a recent result by Shareshian and Wachs and the combinatorial one on the geometry of alternating permutations.

متن کامل

Derivatives and Eulerian Numbers

The aim of the present note is to give a closed form formula for the nth derivative of a function which satisfies Riccati’s differential equation with constant coefficients. The paper is organized as follows. In section 2 we recall the definition and basic properties of Eulerian numbers. We introduce and prove the mentioned formula in section 3. Some examples where the formula can be applied ar...

متن کامل

The p-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers

In this work we explore the p-adic valuation of Eulerian numbers. We construct a tree whose nodes contain information about the p-adic valuation of these numbers. Using this tree, and some classical results for Bernoulli numbers, we compute the exact p divisibility for the Eulerian numbers when the first variable lies in a congruence class and p satisfies some regularity properties.

متن کامل

Congruences on Stirling Numbers and Eulerian Numbers

In this paper, we establish some Fleck-Weisman type congruences for the Stirling numbers and the Eulerian numbers.

متن کامل

Laurent polynomials and Eulerian numbers

Article history: Received 24 August 2009 Available online 25 February 2010

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2019

ISSN: 0097-3165

DOI: 10.1016/j.jcta.2018.12.002