De Moivre’s and Euler Formulas for Matrices of Hybrid Numbers

نویسندگان

چکیده

It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted attention many scientists. At this paper, we provide Euler’s De Moivre’s formulas for 4×4 matrices associated with by using trigonometric identities. Also, give roots Moreover, some illustrative examples to support main formulas.

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

De- Moivre’s and Euler Formulas for Matrices of Split Quaternions

In this paper, real matrix representations of split quaternions are examined in terms of the casual character of quaternion. Then, we give De-Moivre’ s formula for real matrices of timelike and spacelike split quaternions, separately. Finally, we state the Euler theorem for real matrices of pure split quaternions.

متن کامل

Explicit Formulas for Bernoulli and Euler Numbers

Explicit and recursive formulas for Bernoulli and Euler numbers are derived from the Faá di Bruno formula for the higher derivatives of a composite function. Along the way we prove a result about composite generating functions which can be systematically used to derive such identities.

متن کامل

Explicit Formulas Involving q-Euler Numbers and Polynomials

and Applied Analysis 3 Similarly, the q-Bernoulli polynomials and numbers with weight 0 are defined, respectively, as B̃n,q x lim n→∞ 1 [ pn ] q pn−1 ∑ y 0 ( x y )n q

متن کامل

Some Formulas for the Multiple Twisted (h,q)- Euler Polynomials and Numbers

By using p-adic q-deformed fermonic integral on Zp, we define multiple the twisted (h,q)-Euler numbers of order α and polynomials of order α. After we obtain the multiplication formulae for the multiple twisted (h,q)-Euler polynomials. Also the multiple alternating sum obtained at the twisted (h,q)-Euler polynomials and the twisted (h,q)-Euler numbers. Mathematics Subject Classification: 05A10,...

متن کامل

New formulas for Stirling-like numbers and Dobinski-like formulas

Extensions of the Stirling numbers of the second kind and Dobinski-like formulas are proposed in a series of exercises for graduetes. Some of these new formulas recently discovered by me are to be found in A.K.Kwaśniewski’s source paper [1]. These extensions naturally encompass the well known q-extensions.The indicatory references are to point at a part of the vast domain of the foundations of ...

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: Axioms

سال: 2021

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms10030213