A high-genus asymptotic expansion of Weil–Petersson volume polynomials

A General Asymptotic Expansion Formula for Integrals Involving High-Order Orthogonal Polynomials

A new method of evaluating overlap integrals involving orthogonal polynomials is proposed. The technique relies on purely algebraic manipulation of the associated recurrence coefficients. For a large class of polynomials and for sufficiently large orders, these coefficients can be written explicitly as Taylor series in terms of powers of = 1/n, where n is the polynomial order. Such decompositio...

Volume Conjecture and Asymptotic Expansion of q-Series

Effect of Bone Borne Expansion and Tooth Borne Palatal Expansion on Airway Volume: A Review Article

Background and purpose: Transverse problems in the maxilla (high arched- narrow hard plates) can cause respiratory disorders. Palatal expansion can be helpful in this way. The present study aimed at evaluating the effect of bone borne expansion and tooth borne palatal expansion on airway volume. Materials and methods: A review study was performed by search in Google Scholar, Scopus, PubMed, Em...

the pathology of historical texts translation: a study of persian translations of 7th volume of cambridge history of iran

ترجمه با گسترش زبان آغاز شده و اهمیت آن روز به روز افزایش می یابد، و برای اولین بار به عنوان شاخه ای از دانش و روشی برای انتقال علوم، فرهنگ و تجربه در در دوره قاجار در ایران آغاز شد. در حقیقت متون تاریخی از اولین متونی هستند که در ایران ترجمه شدند چرا که به سیاستمداران آن دوره کمک می کردند تا به علل موفقیت جهان غرب و پیشرفت هایشان در طول تاریخ پی ببرند، بنابراین به تدریج ترجمه این گونه متون رون...

The Asymptotic Genus of a Group

As in [Gur], we define the genus of a finite permutation group G to be the minimal genus of a Riemann surface X such that G ∼= Mon(X,φ) where φ : X → P (C) is a covering of the extended complex plane by X. It is known that if G has a nonabelian composition factor S such that S is not an alternating group, then the genus of G must be bounded below by a function of |S| which goes to infinity as |...