Classical orthogonal polynomials are a set of orthogonal polynomials that arise in various areas of mathematics, especially in the context of approximation theory, numerical analysis, and mathematical physics. These polynomials are defined on specific intervals and with respect to certain weight functions, leading to their orthogonality properties.

Continuous big \( q \)-Hermite polynomials are a family of orthogonal polynomials that arise in the study of special functions, particularly in the context of quantum calculus or \( q \)-analysis. They are part of the wider family of \( q \)-orthogonal polynomials, which generalize classical orthogonal polynomials by introducing a parameter \( q \).

Continuous \( q \)-Hahn polynomials are a class of orthogonal polynomials that arise in the study of special functions, particularly in the context of \( q \)-series and quantum groups. They are a part of a broader family of \( q \)-analogues of classical orthogonal polynomials, which includes the \( q \)-Hahn, \( q \)-Jacobi, and others.

The Mehler kernel is a function that arises in the context of orthogonal polynomials, particularly in relation to the theory of Hermite polynomials and the heat equation. It plays a significant role in probability theory, mathematical physics, and the study of stochastic processes.

Continuous \( q \)-Laguerre polynomials are a family of orthogonal polynomials that generalize the classical Laguerre polynomials by incorporating the concept of \( q \)-calculus, which deals with discrete analogs of calculus concepts. These polynomials arise in various areas of mathematics and physics, including approximation theory, special functions, and quantum mechanics.

Orthogonal polynomials on the unit circle are a class of polynomials that are orthogonal with respect to a specific inner product defined on the unit circle in the complex plane. These polynomials have important applications in various fields, including approximation theory, numerical analysis, and spectral theory.

Plancherel–Rotach asymptotics refers to a set of results in the asymptotic analysis of certain special functions and combinatorial quantities, particularly associated with orthogonal polynomials and probability distributions. The results originally emerged from studying the asymptotic behavior of the zeros of orthogonal polynomials, and they have applications in various areas, including statistical mechanics, random matrix theory, and combinatorial enumeration.

"Space by century" could refer to various interpretations, such as the history of space exploration, the development of astronomical knowledge, or the evolution of concepts regarding space in human thought and culture.

Gegenbauer polynomials, denoted as \( C_n^{(\lambda)}(x) \), are a family of orthogonal polynomials that generalize Legendre polynomials and Chebyshev polynomials. They arise in various areas of mathematics and are particularly useful in solving problems involving spherical harmonics and certain types of differential equations.

Hahn polynomials are a class of orthogonal polynomials that arise in the context of the theory of orthogonal polynomials on discrete sets. They are named after the mathematician Wolfgang Hahn, who introduced them in the early 20th century. Hahn polynomials are defined for a discrete variable and are often associated with certain types of hypergeometric functions.

Heckman-Opdam polynomials are a family of orthogonal polynomials that arise in the context of root systems and are closely related to theories in mathematical physics, representation theory, and algebraic combinatorics. They are named after two mathematicians, W. Heckman and E. Opdam, who introduced and studied these polynomials in the context of harmonic analysis on symmetric spaces.

The "Jack function" (also known as the Jack polynomial) is a type of symmetric polynomial that generalizes the Schur polynomials. Jack polynomials depend on a parameter \( \alpha \) and are indexed by partitions. They can be used in various areas of mathematics, including combinatorics, representation theory, and algebraic geometry.

Kravchuk polynomials are a class of orthogonal polynomials that arise in the context of combinatorics and probability theory, particularly in relation to the binomial distribution. They are named after the Ukrainian mathematician Kostiantyn Kravchuk.

Little \( q \)-Laguerre polynomials are a family of orthogonal polynomials that arise in the context of \( q \)-calculus, which is a generalization of classical calculus. They are particularly important in various areas of mathematics and mathematical physics, including combinatorics, special functions, and representation theory.

Macdonald polynomials are a family of symmetric polynomials that arise in the study of algebraic combinatorics, representation theory, and the theory of special functions. They are named after I.G. Macdonald, who introduced them in the context of a generalization of Hall-Littlewood polynomials.

"Bloom" is a novel by author A. J. Jacobs that explores themes of family, love, and personal growth. The story follows a protagonist who embarks on a journey to understand the complexities of life and relationships through a unique lens. The title suggests themes of growth and renewal, which are often reflected in the character's experiences and challenges.

Pseudo-Jacobi polynomials are a class of orthogonal polynomials that are related to the Jacobi polynomials but have some distinct characteristics or domains of applicability. The term "pseudo" typically refers to modifications or generalizations of well-known polynomial families that maintain certain properties or introduce new variables.

Workplace Shell is a desktop environment developed by the software company "Workplace" (formerly known as "Meld"). It is designed to provide a user-friendly interface and a set of tools that enhance productivity and collaboration within organizational settings. The platform often integrates features such as task management, communication tools, file sharing, and project management, making it suitable for teams and businesses looking to streamline their workflows.

Outer space in fiction refers to the portrayal of space beyond Earth's atmosphere in literary, cinematic, and other narrative forms. It serves as a setting for a variety of genres, including science fiction, fantasy, and horror, allowing creators to explore themes of exploration, adventure, and the unknown. Key characteristics of outer space in fiction include: 1. **Exploration and Adventure**: Many stories involve characters embarking on journeys through space, discovering new planets, or encountering alien species.

"Outer space stubs" could refer to several contexts depending on the medium in which the term is used. However, it appears to be a less common or specific phrase. Here are a couple of interpretations: 1. **Astronomy and Science Fiction**: In a general sense, "outer space" refers to the expanse beyond Earth's atmosphere, and "stubs" could refer to incomplete or draft entries related to space phenomena, celestial bodies, or science fiction topics.