For 𝛼, 𝛽 ∈ ℕ₀ and max{𝛼, 𝛽} > 0, it is shown that the integrals of the Jacobi polynomials∫0t(t−0) δPn(α12,β12)(cosθ)(sinθ2)2α(cosθ2)2βdθ>0for all 𝑡 ∈ (0, 𝜋] and 𝑛 ∈ ℕ if 𝛿 ≥ 𝛼 + 1 for 𝛼, 𝛽 ...

CBSE Class 12 Mathematics Chapter 7 Integrals Revision Notes: With the 2024 board exams around the corner, it's time to put down the books and start the exam preparations. Mathematics is a subject ...

This is a preview. Log in through your library . Abstract Let X:p × n be a matrix of random real variates such that the column vectors of X are independently and identically distributed as ...

Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...

Maths Integrals Formulas: The CBSE Class 12 mathematics course is heavily focused on calculus, and Chapter 7 Integrals is one of the lengthiest and most important chapters on the topic. Integrals is ...