A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA

نویسندگان

چکیده

In theoretical setting, associated with a fractional [Formula: see text]-Fueter operator that depends on an additional vector of complex parameters real parts, this paper establishes analog Borel–Pompeiu formula as first step to develop text]-hyperholomorphic function theory and the related calculus.

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

Multivariate Fractional Representation Formula and Ostrowski type inequality

Here we derive a multivariate fractional representation formula involving ordinary partial derivatives of …rst order. Then we prove a related multivariate fractional Ostrowski type inequality with respect to uniform norm. 2010 AMS Mathematics Subject Classi…cation : 26A33, 26D10, 26D15.

متن کامل

On the Siegel-weil Formula for Quaternionic Unitary Groups

We extend the Siegel-Weil formula to all quaternion dual pairs. Applications include the classification problem of skew hermitian forms over a quaternion algebra over a number field and a product formula for the weighted average of the representation numbers of a skew hermitian form by another skew hermitian form.

متن کامل

A Quaternionic Proof of the Representation Formula of a Quaternary Quadratic Form

The celebrated Four Squares Theorem of Lagrange states that every positive integer is the sum of four squares of integers. Interest in this Theorem has motivated a number of different demonstrations. While some of these demonstrations prove the existence of representations of an integer as a sum of four squares, others also produce the number of such representations. In one of these demonstrati...

متن کامل

Vector Grünwald Formula for Fractional Derivatives

Fractional derivatives have been around for centuries [22, 26] but recently they have found new applications in physics [2, 6, 7, 9, 15, 18, 19, 29], hydrology [1, 4, 5, 10, 14, 28], and finance [24, 25, 27]. Analytical solutions of ordinary fractional differential equations [22, 23] and partial fractional differential equations [8, 16] are now available in some special cases. But the solution ...

متن کامل

Itô’s formula for linear fractional PDEs

In this paper we introduce a stochastic integral with respect to the solution X of the fractional heat equation on [0, 1], interpreted as a divergence operator. This allows to use the techniques of the Malliavin calculus in order to establish an Itô-type formula for the process X.

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: Fractals

سال: 2021

ISSN: ['1793-6543', '0218-348X']

DOI: https://doi.org/10.1142/s0218348x2250013x